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Finding the Fourth Proportional to 296.97, 445.65 and 142.97

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Solution

The fourth proportional to 296.97, 445.65 and 142.97 is: 214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.97 : 445.65 = 142.97 : x
  2. Step 2: Convert to fraction form
    296.97/445.65 = 142.97/x
  3. Step 3: Cross multiply
    296.97x = 445.65 × 142.97
  4. Step 4: Simplify right side
    296.97x = 63,712.62
  5. Step 5: Solve for x
    x = 63,712.62/296.97
  6. Step 6: Final answer
    x = 214.54

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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.