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Finding the Fourth Proportional to 57.31, 78.99 and 48.10

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Solution

The fourth proportional to 57.31, 78.99 and 48.10 is: 66.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.31 : 78.99 = 48.10 : x
  2. Step 2: Convert to fraction form
    57.31/78.99 = 48.10/x
  3. Step 3: Cross multiply
    57.31x = 78.99 × 48.10
  4. Step 4: Simplify right side
    57.31x = 3,799.42
  5. Step 5: Solve for x
    x = 3,799.42/57.31
  6. Step 6: Final answer
    x = 66.30

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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.