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Finding the Fourth Proportional to 278.60, 416.12 and 240.20

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Solution

The fourth proportional to 278.60, 416.12 and 240.20 is: 358.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.60 : 416.12 = 240.20 : x
  2. Step 2: Convert to fraction form
    278.60/416.12 = 240.20/x
  3. Step 3: Cross multiply
    278.60x = 416.12 × 240.20
  4. Step 4: Simplify right side
    278.60x = 99,952.02
  5. Step 5: Solve for x
    x = 99,952.02/278.60
  6. Step 6: Final answer
    x = 358.77

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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.