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Finding the Fourth Proportional to 278.15, 414.77 and 239.88

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Solution

The fourth proportional to 278.15, 414.77 and 239.88 is: 357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.15 : 414.77 = 239.88 : x
  2. Step 2: Convert to fraction form
    278.15/414.77 = 239.88/x
  3. Step 3: Cross multiply
    278.15x = 414.77 × 239.88
  4. Step 4: Simplify right side
    278.15x = 99,495.63
  5. Step 5: Solve for x
    x = 99,495.63/278.15
  6. Step 6: Final answer
    x = 357.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.