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Finding the Fourth Proportional to 391.98, 587.91 and 148.45

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Solution

The fourth proportional to 391.98, 587.91 and 148.45 is: 222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.98 : 587.91 = 148.45 : x
  2. Step 2: Convert to fraction form
    391.98/587.91 = 148.45/x
  3. Step 3: Cross multiply
    391.98x = 587.91 × 148.45
  4. Step 4: Simplify right side
    391.98x = 87,275.24
  5. Step 5: Solve for x
    x = 87,275.24/391.98
  6. Step 6: Final answer
    x = 222.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.