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Finding the Fourth Proportional to 285.89, 429.05 and 112.59

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Solution

The fourth proportional to 285.89, 429.05 and 112.59 is: 168.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.89 : 429.05 = 112.59 : x
  2. Step 2: Convert to fraction form
    285.89/429.05 = 112.59/x
  3. Step 3: Cross multiply
    285.89x = 429.05 × 112.59
  4. Step 4: Simplify right side
    285.89x = 48,307.02
  5. Step 5: Solve for x
    x = 48,307.02/285.89
  6. Step 6: Final answer
    x = 168.97

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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.