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Finding the Fourth Proportional to 391.14, 536.90 and 345.89

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Solution

The fourth proportional to 391.14, 536.90 and 345.89 is: 474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.14 : 536.90 = 345.89 : x
  2. Step 2: Convert to fraction form
    391.14/536.90 = 345.89/x
  3. Step 3: Cross multiply
    391.14x = 536.90 × 345.89
  4. Step 4: Simplify right side
    391.14x = 185,707.48
  5. Step 5: Solve for x
    x = 185,707.48/391.14
  6. Step 6: Final answer
    x = 474.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.