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Finding the Fourth Proportional to 278.71, 384.71 and 162.29

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Solution

The fourth proportional to 278.71, 384.71 and 162.29 is: 224.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.71 : 384.71 = 162.29 : x
  2. Step 2: Convert to fraction form
    278.71/384.71 = 162.29/x
  3. Step 3: Cross multiply
    278.71x = 384.71 × 162.29
  4. Step 4: Simplify right side
    278.71x = 62,434.74
  5. Step 5: Solve for x
    x = 62,434.74/278.71
  6. Step 6: Final answer
    x = 224.02

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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.