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Finding the Fourth Proportional to 278.10, 415.37 and 239.70

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Solution

The fourth proportional to 278.10, 415.37 and 239.70 is: 358.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.10 : 415.37 = 239.70 : x
  2. Step 2: Convert to fraction form
    278.10/415.37 = 239.70/x
  3. Step 3: Cross multiply
    278.10x = 415.37 × 239.70
  4. Step 4: Simplify right side
    278.10x = 99,562.99
  5. Step 5: Solve for x
    x = 99,562.99/278.10
  6. Step 6: Final answer
    x = 358.01

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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.