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Finding the Fourth Proportional to 278.31, 417.71 and 162.59

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Solution

The fourth proportional to 278.31, 417.71 and 162.59 is: 244.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.31 : 417.71 = 162.59 : x
  2. Step 2: Convert to fraction form
    278.31/417.71 = 162.59/x
  3. Step 3: Cross multiply
    278.31x = 417.71 × 162.59
  4. Step 4: Simplify right side
    278.31x = 67,915.47
  5. Step 5: Solve for x
    x = 67,915.47/278.31
  6. Step 6: Final answer
    x = 244.03

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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.