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Finding the Fourth Proportional to 57.17, 78.80 and 43.40

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Solution

The fourth proportional to 57.17, 78.80 and 43.40 is: 59.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.17 : 78.80 = 43.40 : x
  2. Step 2: Convert to fraction form
    57.17/78.80 = 43.40/x
  3. Step 3: Cross multiply
    57.17x = 78.80 × 43.40
  4. Step 4: Simplify right side
    57.17x = 3,419.31
  5. Step 5: Solve for x
    x = 3,419.31/57.17
  6. Step 6: Final answer
    x = 59.81

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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.