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Finding the Fourth Proportional to 162.65, 243.74 and 140.84

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Solution

The fourth proportional to 162.65, 243.74 and 140.84 is: 211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.65 : 243.74 = 140.84 : x
  2. Step 2: Convert to fraction form
    162.65/243.74 = 140.84/x
  3. Step 3: Cross multiply
    162.65x = 243.74 × 140.84
  4. Step 4: Simplify right side
    162.65x = 34,326.42
  5. Step 5: Solve for x
    x = 34,326.42/162.65
  6. Step 6: Final answer
    x = 211.05

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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.