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Finding the Fourth Proportional to 278.68, 416.90 and 233.12

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Solution

The fourth proportional to 278.68, 416.90 and 233.12 is: 348.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.68 : 416.90 = 233.12 : x
  2. Step 2: Convert to fraction form
    278.68/416.90 = 233.12/x
  3. Step 3: Cross multiply
    278.68x = 416.90 × 233.12
  4. Step 4: Simplify right side
    278.68x = 97,187.73
  5. Step 5: Solve for x
    x = 97,187.73/278.68
  6. Step 6: Final answer
    x = 348.74

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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.