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Finding the Fourth Proportional to 67.20, 92.68 and 46.45

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Solution

The fourth proportional to 67.20, 92.68 and 46.45 is: 64.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.20 : 92.68 = 46.45 : x
  2. Step 2: Convert to fraction form
    67.20/92.68 = 46.45/x
  3. Step 3: Cross multiply
    67.20x = 92.68 × 46.45
  4. Step 4: Simplify right side
    67.20x = 4,304.99
  5. Step 5: Solve for x
    x = 4,304.99/67.20
  6. Step 6: Final answer
    x = 64.06

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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.