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Finding the Fourth Proportional to 67.68, 93.15 and 57.30

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Solution

The fourth proportional to 67.68, 93.15 and 57.30 is: 78.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.68 : 93.15 = 57.30 : x
  2. Step 2: Convert to fraction form
    67.68/93.15 = 57.30/x
  3. Step 3: Cross multiply
    67.68x = 93.15 × 57.30
  4. Step 4: Simplify right side
    67.68x = 5,337.50
  5. Step 5: Solve for x
    x = 5,337.50/67.68
  6. Step 6: Final answer
    x = 78.86

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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.