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Finding the Fourth Proportional to 381.69, 526.91 and 288.47

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Solution

The fourth proportional to 381.69, 526.91 and 288.47 is: 398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.69 : 526.91 = 288.47 : x
  2. Step 2: Convert to fraction form
    381.69/526.91 = 288.47/x
  3. Step 3: Cross multiply
    381.69x = 526.91 × 288.47
  4. Step 4: Simplify right side
    381.69x = 151,997.73
  5. Step 5: Solve for x
    x = 151,997.73/381.69
  6. Step 6: Final answer
    x = 398.22

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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.