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Finding the Fourth Proportional to 162.90, 243.16 and 141.38

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Solution

The fourth proportional to 162.90, 243.16 and 141.38 is: 211.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.90 : 243.16 = 141.38 : x
  2. Step 2: Convert to fraction form
    162.90/243.16 = 141.38/x
  3. Step 3: Cross multiply
    162.90x = 243.16 × 141.38
  4. Step 4: Simplify right side
    162.90x = 34,378.22
  5. Step 5: Solve for x
    x = 34,378.22/162.90
  6. Step 6: Final answer
    x = 211.04

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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.