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Finding the Fourth Proportional to 162.90, 242.67 and 154.98

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Solution

The fourth proportional to 162.90, 242.67 and 154.98 is: 230.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.90 : 242.67 = 154.98 : x
  2. Step 2: Convert to fraction form
    162.90/242.67 = 154.98/x
  3. Step 3: Cross multiply
    162.90x = 242.67 × 154.98
  4. Step 4: Simplify right side
    162.90x = 37,609.58
  5. Step 5: Solve for x
    x = 37,609.58/162.90
  6. Step 6: Final answer
    x = 230.88

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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.