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Finding the Fourth Proportional to 285.92, 393.74 and 279.56

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Solution

The fourth proportional to 285.92, 393.74 and 279.56 is: 384.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.92 : 393.74 = 279.56 : x
  2. Step 2: Convert to fraction form
    285.92/393.74 = 279.56/x
  3. Step 3: Cross multiply
    285.92x = 393.74 × 279.56
  4. Step 4: Simplify right side
    285.92x = 110,073.95
  5. Step 5: Solve for x
    x = 110,073.95/285.92
  6. Step 6: Final answer
    x = 384.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.