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Finding the Fourth Proportional to 162.91, 242.96 and 154.86

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Solution

The fourth proportional to 162.91, 242.96 and 154.86 is: 230.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.91 : 242.96 = 154.86 : x
  2. Step 2: Convert to fraction form
    162.91/242.96 = 154.86/x
  3. Step 3: Cross multiply
    162.91x = 242.96 × 154.86
  4. Step 4: Simplify right side
    162.91x = 37,623.10
  5. Step 5: Solve for x
    x = 37,623.10/162.91
  6. Step 6: Final answer
    x = 230.94

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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.