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Finding the Fourth Proportional to 162.19, 243.08 and 153.55

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Solution

The fourth proportional to 162.19, 243.08 and 153.55 is: 230.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.19 : 243.08 = 153.55 : x
  2. Step 2: Convert to fraction form
    162.19/243.08 = 153.55/x
  3. Step 3: Cross multiply
    162.19x = 243.08 × 153.55
  4. Step 4: Simplify right side
    162.19x = 37,324.93
  5. Step 5: Solve for x
    x = 37,324.93/162.19
  6. Step 6: Final answer
    x = 230.13

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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.