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Finding the Fourth Proportional to 391.78, 587.66 and 114.14

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Solution

The fourth proportional to 391.78, 587.66 and 114.14 is: 171.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.78 : 587.66 = 114.14 : x
  2. Step 2: Convert to fraction form
    391.78/587.66 = 114.14/x
  3. Step 3: Cross multiply
    391.78x = 587.66 × 114.14
  4. Step 4: Simplify right side
    391.78x = 67,075.51
  5. Step 5: Solve for x
    x = 67,075.51/391.78
  6. Step 6: Final answer
    x = 171.21

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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.