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Finding the Fourth Proportional to 57.10, 78.80 and 31.23

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Solution

The fourth proportional to 57.10, 78.80 and 31.23 is: 43.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.10 : 78.80 = 31.23 : x
  2. Step 2: Convert to fraction form
    57.10/78.80 = 31.23/x
  3. Step 3: Cross multiply
    57.10x = 78.80 × 31.23
  4. Step 4: Simplify right side
    57.10x = 2,460.53
  5. Step 5: Solve for x
    x = 2,460.53/57.10
  6. Step 6: Final answer
    x = 43.09

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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.