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Finding the Fourth Proportional to 391.51, 587.19 and 148.06

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Solution

The fourth proportional to 391.51, 587.19 and 148.06 is: 222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.51 : 587.19 = 148.06 : x
  2. Step 2: Convert to fraction form
    391.51/587.19 = 148.06/x
  3. Step 3: Cross multiply
    391.51x = 587.19 × 148.06
  4. Step 4: Simplify right side
    391.51x = 86,939.35
  5. Step 5: Solve for x
    x = 86,939.35/391.51
  6. Step 6: Final answer
    x = 222.06

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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.