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Finding the Fourth Proportional to 162.06, 243.09 and 147.66

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Solution

The fourth proportional to 162.06, 243.09 and 147.66 is: 221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.06 : 243.09 = 147.66 : x
  2. Step 2: Convert to fraction form
    162.06/243.09 = 147.66/x
  3. Step 3: Cross multiply
    162.06x = 243.09 × 147.66
  4. Step 4: Simplify right side
    162.06x = 35,894.67
  5. Step 5: Solve for x
    x = 35,894.67/162.06
  6. Step 6: Final answer
    x = 221.49

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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.