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Finding the Fourth Proportional to 438.40, 657.52 and 130.24

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Solution

The fourth proportional to 438.40, 657.52 and 130.24 is: 195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.40 : 657.52 = 130.24 : x
  2. Step 2: Convert to fraction form
    438.40/657.52 = 130.24/x
  3. Step 3: Cross multiply
    438.40x = 657.52 × 130.24
  4. Step 4: Simplify right side
    438.40x = 85,635.40
  5. Step 5: Solve for x
    x = 85,635.40/438.40
  6. Step 6: Final answer
    x = 195.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.