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Finding the Fourth Proportional to 56.42, 77.85 and 31.85

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Solution

The fourth proportional to 56.42, 77.85 and 31.85 is: 43.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.42 : 77.85 = 31.85 : x
  2. Step 2: Convert to fraction form
    56.42/77.85 = 31.85/x
  3. Step 3: Cross multiply
    56.42x = 77.85 × 31.85
  4. Step 4: Simplify right side
    56.42x = 2,479.13
  5. Step 5: Solve for x
    x = 2,479.13/56.42
  6. Step 6: Final answer
    x = 43.94

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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.