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Finding the Fourth Proportional to 162.87, 242.89 and 151.93

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Solution

The fourth proportional to 162.87, 242.89 and 151.93 is: 226.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.87 : 242.89 = 151.93 : x
  2. Step 2: Convert to fraction form
    162.87/242.89 = 151.93/x
  3. Step 3: Cross multiply
    162.87x = 242.89 × 151.93
  4. Step 4: Simplify right side
    162.87x = 36,902.28
  5. Step 5: Solve for x
    x = 36,902.28/162.87
  6. Step 6: Final answer
    x = 226.58

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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.