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Finding the Fourth Proportional to 316.48, 437.08 and 296.90

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Solution

The fourth proportional to 316.48, 437.08 and 296.90 is: 410.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.48 : 437.08 = 296.90 : x
  2. Step 2: Convert to fraction form
    316.48/437.08 = 296.90/x
  3. Step 3: Cross multiply
    316.48x = 437.08 × 296.90
  4. Step 4: Simplify right side
    316.48x = 129,769.05
  5. Step 5: Solve for x
    x = 129,769.05/316.48
  6. Step 6: Final answer
    x = 410.04

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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.