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Finding the Fourth Proportional to 426.02, 639.02 and 117.90

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Solution

The fourth proportional to 426.02, 639.02 and 117.90 is: 176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.02 : 639.02 = 117.90 : x
  2. Step 2: Convert to fraction form
    426.02/639.02 = 117.90/x
  3. Step 3: Cross multiply
    426.02x = 639.02 × 117.90
  4. Step 4: Simplify right side
    426.02x = 75,340.46
  5. Step 5: Solve for x
    x = 75,340.46/426.02
  6. Step 6: Final answer
    x = 176.85

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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.