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Finding the Fourth Proportional to 294.39, 442.40 and 178.86

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Solution

The fourth proportional to 294.39, 442.40 and 178.86 is: 268.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.39 : 442.40 = 178.86 : x
  2. Step 2: Convert to fraction form
    294.39/442.40 = 178.86/x
  3. Step 3: Cross multiply
    294.39x = 442.40 × 178.86
  4. Step 4: Simplify right side
    294.39x = 79,126.77
  5. Step 5: Solve for x
    x = 79,126.77/294.39
  6. Step 6: Final answer
    x = 268.78

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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.