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Finding the Fourth Proportional to 513.26, 770.10 and 253.40

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Solution

The fourth proportional to 513.26, 770.10 and 253.40 is: 380.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.26 : 770.10 = 253.40 : x
  2. Step 2: Convert to fraction form
    513.26/770.10 = 253.40/x
  3. Step 3: Cross multiply
    513.26x = 770.10 × 253.40
  4. Step 4: Simplify right side
    513.26x = 195,143.34
  5. Step 5: Solve for x
    x = 195,143.34/513.26
  6. Step 6: Final answer
    x = 380.20

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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.