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Finding the Fourth Proportional to 52.47, 78.68 and 18.22

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Solution

The fourth proportional to 52.47, 78.68 and 18.22 is: 27.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.47 : 78.68 = 18.22 : x
  2. Step 2: Convert to fraction form
    52.47/78.68 = 18.22/x
  3. Step 3: Cross multiply
    52.47x = 78.68 × 18.22
  4. Step 4: Simplify right side
    52.47x = 1,433.55
  5. Step 5: Solve for x
    x = 1,433.55/52.47
  6. Step 6: Final answer
    x = 27.32

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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.