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Finding the Fourth Proportional to 56.38, 77.88 and 45.44

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Solution

The fourth proportional to 56.38, 77.88 and 45.44 is: 62.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.38 : 77.88 = 45.44 : x
  2. Step 2: Convert to fraction form
    56.38/77.88 = 45.44/x
  3. Step 3: Cross multiply
    56.38x = 77.88 × 45.44
  4. Step 4: Simplify right side
    56.38x = 3,538.87
  5. Step 5: Solve for x
    x = 3,538.87/56.38
  6. Step 6: Final answer
    x = 62.77

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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.