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Finding the Fourth Proportional to 461.62, 637.15 and 295.81

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Solution

The fourth proportional to 461.62, 637.15 and 295.81 is: 408.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.62 : 637.15 = 295.81 : x
  2. Step 2: Convert to fraction form
    461.62/637.15 = 295.81/x
  3. Step 3: Cross multiply
    461.62x = 637.15 × 295.81
  4. Step 4: Simplify right side
    461.62x = 188,479.29
  5. Step 5: Solve for x
    x = 188,479.29/461.62
  6. Step 6: Final answer
    x = 408.30

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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.