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Finding the Fourth Proportional to 285.92, 429 and 149.06

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Solution

The fourth proportional to 285.92, 429 and 149.06 is: 223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.92 : 429 = 149.06 : x
  2. Step 2: Convert to fraction form
    285.92/429 = 149.06/x
  3. Step 3: Cross multiply
    285.92x = 429 × 149.06
  4. Step 4: Simplify right side
    285.92x = 63,946.74
  5. Step 5: Solve for x
    x = 63,946.74/285.92
  6. Step 6: Final answer
    x = 223.65

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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.