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Finding the Fourth Proportional to 294.35, 441.54 and 77.90

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Solution

The fourth proportional to 294.35, 441.54 and 77.90 is: 116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.35 : 441.54 = 77.90 : x
  2. Step 2: Convert to fraction form
    294.35/441.54 = 77.90/x
  3. Step 3: Cross multiply
    294.35x = 441.54 × 77.90
  4. Step 4: Simplify right side
    294.35x = 34,393.76
  5. Step 5: Solve for x
    x = 34,393.76/294.35
  6. Step 6: Final answer
    x = 116.85

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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.