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Finding the Fourth Proportional to 285.50, 426.34 and 239.06

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Solution

The fourth proportional to 285.50, 426.34 and 239.06 is: 356.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.50 : 426.34 = 239.06 : x
  2. Step 2: Convert to fraction form
    285.50/426.34 = 239.06/x
  3. Step 3: Cross multiply
    285.50x = 426.34 × 239.06
  4. Step 4: Simplify right side
    285.50x = 101,920.84
  5. Step 5: Solve for x
    x = 101,920.84/285.50
  6. Step 6: Final answer
    x = 356.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.