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Finding the Fourth Proportional to 461.60, 637 and 265.15

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Solution

The fourth proportional to 461.60, 637 and 265.15 is: 365.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.60 : 637 = 265.15 : x
  2. Step 2: Convert to fraction form
    461.60/637 = 265.15/x
  3. Step 3: Cross multiply
    461.60x = 637 × 265.15
  4. Step 4: Simplify right side
    461.60x = 168,900.55
  5. Step 5: Solve for x
    x = 168,900.55/461.60
  6. Step 6: Final answer
    x = 365.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.