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Finding the Fourth Proportional to 162.66, 242.15 and 154.80

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Solution

The fourth proportional to 162.66, 242.15 and 154.80 is: 230.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.66 : 242.15 = 154.80 : x
  2. Step 2: Convert to fraction form
    162.66/242.15 = 154.80/x
  3. Step 3: Cross multiply
    162.66x = 242.15 × 154.80
  4. Step 4: Simplify right side
    162.66x = 37,484.05
  5. Step 5: Solve for x
    x = 37,484.05/162.66
  6. Step 6: Final answer
    x = 230.44

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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.