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Finding the Fourth Proportional to 316.17, 476.65 and 296.38

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Solution

The fourth proportional to 316.17, 476.65 and 296.38 is: 446.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.17 : 476.65 = 296.38 : x
  2. Step 2: Convert to fraction form
    316.17/476.65 = 296.38/x
  3. Step 3: Cross multiply
    316.17x = 476.65 × 296.38
  4. Step 4: Simplify right side
    316.17x = 141,267.81
  5. Step 5: Solve for x
    x = 141,267.81/316.17
  6. Step 6: Final answer
    x = 446.81

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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.