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Finding the Fourth Proportional to 513.35, 770.15 and 148.13

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Solution

The fourth proportional to 513.35, 770.15 and 148.13 is: 222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.35 : 770.15 = 148.13 : x
  2. Step 2: Convert to fraction form
    513.35/770.15 = 148.13/x
  3. Step 3: Cross multiply
    513.35x = 770.15 × 148.13
  4. Step 4: Simplify right side
    513.35x = 114,082.32
  5. Step 5: Solve for x
    x = 114,082.32/513.35
  6. Step 6: Final answer
    x = 222.23

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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.