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Finding the Fourth Proportional to 285.98, 428.71 and 148.87

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Solution

The fourth proportional to 285.98, 428.71 and 148.87 is: 223.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.98 : 428.71 = 148.87 : x
  2. Step 2: Convert to fraction form
    285.98/428.71 = 148.87/x
  3. Step 3: Cross multiply
    285.98x = 428.71 × 148.87
  4. Step 4: Simplify right side
    285.98x = 63,822.06
  5. Step 5: Solve for x
    x = 63,822.06/285.98
  6. Step 6: Final answer
    x = 223.17

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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.