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Finding the Fourth Proportional to 52.90, 79.40 and 22.49

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Solution

The fourth proportional to 52.90, 79.40 and 22.49 is: 33.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.90 : 79.40 = 22.49 : x
  2. Step 2: Convert to fraction form
    52.90/79.40 = 22.49/x
  3. Step 3: Cross multiply
    52.90x = 79.40 × 22.49
  4. Step 4: Simplify right side
    52.90x = 1,785.71
  5. Step 5: Solve for x
    x = 1,785.71/52.90
  6. Step 6: Final answer
    x = 33.76

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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.