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Finding the Fourth Proportional to 438.98, 658.58 and 130.86

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Solution

The fourth proportional to 438.98, 658.58 and 130.86 is: 196.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.98 : 658.58 = 130.86 : x
  2. Step 2: Convert to fraction form
    438.98/658.58 = 130.86/x
  3. Step 3: Cross multiply
    438.98x = 658.58 × 130.86
  4. Step 4: Simplify right side
    438.98x = 86,181.12
  5. Step 5: Solve for x
    x = 86,181.12/438.98
  6. Step 6: Final answer
    x = 196.32

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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.