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Finding the Fourth Proportional to 285.74, 428.64 and 141.46

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Solution

The fourth proportional to 285.74, 428.64 and 141.46 is: 212.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.74 : 428.64 = 141.46 : x
  2. Step 2: Convert to fraction form
    285.74/428.64 = 141.46/x
  3. Step 3: Cross multiply
    285.74x = 428.64 × 141.46
  4. Step 4: Simplify right side
    285.74x = 60,635.41
  5. Step 5: Solve for x
    x = 60,635.41/285.74
  6. Step 6: Final answer
    x = 212.20

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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.