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Finding the Fourth Proportional to 67.71, 93.49 and 46.98

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Solution

The fourth proportional to 67.71, 93.49 and 46.98 is: 64.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.71 : 93.49 = 46.98 : x
  2. Step 2: Convert to fraction form
    67.71/93.49 = 46.98/x
  3. Step 3: Cross multiply
    67.71x = 93.49 × 46.98
  4. Step 4: Simplify right side
    67.71x = 4,392.04
  5. Step 5: Solve for x
    x = 4,392.04/67.71
  6. Step 6: Final answer
    x = 64.86

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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.