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Finding the Fourth Proportional to 162.54, 242.69 and 144.36

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Solution

The fourth proportional to 162.54, 242.69 and 144.36 is: 215.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.54 : 242.69 = 144.36 : x
  2. Step 2: Convert to fraction form
    162.54/242.69 = 144.36/x
  3. Step 3: Cross multiply
    162.54x = 242.69 × 144.36
  4. Step 4: Simplify right side
    162.54x = 35,034.73
  5. Step 5: Solve for x
    x = 35,034.73/162.54
  6. Step 6: Final answer
    x = 215.55

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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.