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Finding the Fourth Proportional to 278.71, 384.33 and 239.50

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Solution

The fourth proportional to 278.71, 384.33 and 239.50 is: 330.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.71 : 384.33 = 239.50 : x
  2. Step 2: Convert to fraction form
    278.71/384.33 = 239.50/x
  3. Step 3: Cross multiply
    278.71x = 384.33 × 239.50
  4. Step 4: Simplify right side
    278.71x = 92,047.04
  5. Step 5: Solve for x
    x = 92,047.04/278.71
  6. Step 6: Final answer
    x = 330.26

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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.