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Finding the Fourth Proportional to 394.58, 591.79 and 151.02

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Solution

The fourth proportional to 394.58, 591.79 and 151.02 is: 226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.58 : 591.79 = 151.02 : x
  2. Step 2: Convert to fraction form
    394.58/591.79 = 151.02/x
  3. Step 3: Cross multiply
    394.58x = 591.79 × 151.02
  4. Step 4: Simplify right side
    394.58x = 89,372.13
  5. Step 5: Solve for x
    x = 89,372.13/394.58
  6. Step 6: Final answer
    x = 226.50

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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.