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Finding the Fourth Proportional to 95.38, 131.56 and 56.57

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Solution

The fourth proportional to 95.38, 131.56 and 56.57 is: 78.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.38 : 131.56 = 56.57 : x
  2. Step 2: Convert to fraction form
    95.38/131.56 = 56.57/x
  3. Step 3: Cross multiply
    95.38x = 131.56 × 56.57
  4. Step 4: Simplify right side
    95.38x = 7,441.55
  5. Step 5: Solve for x
    x = 7,441.55/95.38
  6. Step 6: Final answer
    x = 78.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.