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Finding the Fourth Proportional to 262.40, 362.12 and 151.89

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Solution

The fourth proportional to 262.40, 362.12 and 151.89 is: 209.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.40 : 362.12 = 151.89 : x
  2. Step 2: Convert to fraction form
    262.40/362.12 = 151.89/x
  3. Step 3: Cross multiply
    262.40x = 362.12 × 151.89
  4. Step 4: Simplify right side
    262.40x = 55,001.65
  5. Step 5: Solve for x
    x = 55,001.65/262.40
  6. Step 6: Final answer
    x = 209.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.