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Finding the Fourth Proportional to 285.92, 429.36 and 141.68

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Solution

The fourth proportional to 285.92, 429.36 and 141.68 is: 212.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.92 : 429.36 = 141.68 : x
  2. Step 2: Convert to fraction form
    285.92/429.36 = 141.68/x
  3. Step 3: Cross multiply
    285.92x = 429.36 × 141.68
  4. Step 4: Simplify right side
    285.92x = 60,831.72
  5. Step 5: Solve for x
    x = 60,831.72/285.92
  6. Step 6: Final answer
    x = 212.76

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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.