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Finding the Fourth Proportional to 438.83, 658.37 and 179.01

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Solution

The fourth proportional to 438.83, 658.37 and 179.01 is: 268.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.83 : 658.37 = 179.01 : x
  2. Step 2: Convert to fraction form
    438.83/658.37 = 179.01/x
  3. Step 3: Cross multiply
    438.83x = 658.37 × 179.01
  4. Step 4: Simplify right side
    438.83x = 117,853.92
  5. Step 5: Solve for x
    x = 117,853.92/438.83
  6. Step 6: Final answer
    x = 268.57

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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.