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Finding the Fourth Proportional to 56.92, 78.55 and 31.05

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Solution

The fourth proportional to 56.92, 78.55 and 31.05 is: 42.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.92 : 78.55 = 31.05 : x
  2. Step 2: Convert to fraction form
    56.92/78.55 = 31.05/x
  3. Step 3: Cross multiply
    56.92x = 78.55 × 31.05
  4. Step 4: Simplify right side
    56.92x = 2,438.86
  5. Step 5: Solve for x
    x = 2,438.86/56.92
  6. Step 6: Final answer
    x = 42.85

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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.