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Finding the Fourth Proportional to 296.28, 445.10 and 291.50

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Solution

The fourth proportional to 296.28, 445.10 and 291.50 is: 437.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.28 : 445.10 = 291.50 : x
  2. Step 2: Convert to fraction form
    296.28/445.10 = 291.50/x
  3. Step 3: Cross multiply
    296.28x = 445.10 × 291.50
  4. Step 4: Simplify right side
    296.28x = 129,742.97
  5. Step 5: Solve for x
    x = 129,742.97/296.28
  6. Step 6: Final answer
    x = 437.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.