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Finding the Fourth Proportional to 316.61, 477.25 and 262.85

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Solution

The fourth proportional to 316.61, 477.25 and 262.85 is: 396.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.61 : 477.25 = 262.85 : x
  2. Step 2: Convert to fraction form
    316.61/477.25 = 262.85/x
  3. Step 3: Cross multiply
    316.61x = 477.25 × 262.85
  4. Step 4: Simplify right side
    316.61x = 125,445.16
  5. Step 5: Solve for x
    x = 125,445.16/316.61
  6. Step 6: Final answer
    x = 396.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.