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Finding the Fourth Proportional to 162.95, 243.29 and 124.22

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Solution

The fourth proportional to 162.95, 243.29 and 124.22 is: 185.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.95 : 243.29 = 124.22 : x
  2. Step 2: Convert to fraction form
    162.95/243.29 = 124.22/x
  3. Step 3: Cross multiply
    162.95x = 243.29 × 124.22
  4. Step 4: Simplify right side
    162.95x = 30,221.47
  5. Step 5: Solve for x
    x = 30,221.47/162.95
  6. Step 6: Final answer
    x = 185.46

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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.