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Finding the Fourth Proportional to 513.50, 770.11 and 148.19

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Solution

The fourth proportional to 513.50, 770.11 and 148.19 is: 222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.50 : 770.11 = 148.19 : x
  2. Step 2: Convert to fraction form
    513.50/770.11 = 148.19/x
  3. Step 3: Cross multiply
    513.50x = 770.11 × 148.19
  4. Step 4: Simplify right side
    513.50x = 114,118.38
  5. Step 5: Solve for x
    x = 114,118.38/513.50
  6. Step 6: Final answer
    x = 222.24

Related Problems

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Double scale
Find fourth proportional to 514.50, 771.61 and 149.19
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.