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Finding the Fourth Proportional to 461.61, 637.06 and 265.15

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Solution

The fourth proportional to 461.61, 637.06 and 265.15 is: 365.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.61 : 637.06 = 265.15 : x
  2. Step 2: Convert to fraction form
    461.61/637.06 = 265.15/x
  3. Step 3: Cross multiply
    461.61x = 637.06 × 265.15
  4. Step 4: Simplify right side
    461.61x = 168,916.46
  5. Step 5: Solve for x
    x = 168,916.46/461.61
  6. Step 6: Final answer
    x = 365.93

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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.