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Finding the Fourth Proportional to 285.69, 428.57 and 93.32

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Solution

The fourth proportional to 285.69, 428.57 and 93.32 is: 139.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.69 : 428.57 = 93.32 : x
  2. Step 2: Convert to fraction form
    285.69/428.57 = 93.32/x
  3. Step 3: Cross multiply
    285.69x = 428.57 × 93.32
  4. Step 4: Simplify right side
    285.69x = 39,991.54
  5. Step 5: Solve for x
    x = 39,991.54/285.69
  6. Step 6: Final answer
    x = 139.98

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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.