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Finding the Fourth Proportional to 52.79, 79.12 and 22.31

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Solution

The fourth proportional to 52.79, 79.12 and 22.31 is: 33.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.79 : 79.12 = 22.31 : x
  2. Step 2: Convert to fraction form
    52.79/79.12 = 22.31/x
  3. Step 3: Cross multiply
    52.79x = 79.12 × 22.31
  4. Step 4: Simplify right side
    52.79x = 1,764.77
  5. Step 5: Solve for x
    x = 1,764.77/52.79
  6. Step 6: Final answer
    x = 33.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.