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Finding the Fourth Proportional to 285.34, 427.28 and 239.58

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Solution

The fourth proportional to 285.34, 427.28 and 239.58 is: 358.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.34 : 427.28 = 239.58 : x
  2. Step 2: Convert to fraction form
    285.34/427.28 = 239.58/x
  3. Step 3: Cross multiply
    285.34x = 427.28 × 239.58
  4. Step 4: Simplify right side
    285.34x = 102,367.74
  5. Step 5: Solve for x
    x = 102,367.74/285.34
  6. Step 6: Final answer
    x = 358.76

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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.