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Finding the Fourth Proportional to 162.43, 243.99 and 117.07

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Solution

The fourth proportional to 162.43, 243.99 and 117.07 is: 175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.43 : 243.99 = 117.07 : x
  2. Step 2: Convert to fraction form
    162.43/243.99 = 117.07/x
  3. Step 3: Cross multiply
    162.43x = 243.99 × 117.07
  4. Step 4: Simplify right side
    162.43x = 28,563.91
  5. Step 5: Solve for x
    x = 28,563.91/162.43
  6. Step 6: Final answer
    x = 175.85

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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.