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Finding the Fourth Proportional to 52.97, 79.02 and 46.22

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Solution

The fourth proportional to 52.97, 79.02 and 46.22 is: 68.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.97 : 79.02 = 46.22 : x
  2. Step 2: Convert to fraction form
    52.97/79.02 = 46.22/x
  3. Step 3: Cross multiply
    52.97x = 79.02 × 46.22
  4. Step 4: Simplify right side
    52.97x = 3,652.30
  5. Step 5: Solve for x
    x = 3,652.30/52.97
  6. Step 6: Final answer
    x = 68.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.