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Finding the Fourth Proportional to 426.81, 640.21 and 118.66

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Solution

The fourth proportional to 426.81, 640.21 and 118.66 is: 177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.81 : 640.21 = 118.66 : x
  2. Step 2: Convert to fraction form
    426.81/640.21 = 118.66/x
  3. Step 3: Cross multiply
    426.81x = 640.21 × 118.66
  4. Step 4: Simplify right side
    426.81x = 75,967.32
  5. Step 5: Solve for x
    x = 75,967.32/426.81
  6. Step 6: Final answer
    x = 177.99

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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.