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Finding the Fourth Proportional to 390.52, 585.82 and 134.04

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Solution

The fourth proportional to 390.52, 585.82 and 134.04 is: 201.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.52 : 585.82 = 134.04 : x
  2. Step 2: Convert to fraction form
    390.52/585.82 = 134.04/x
  3. Step 3: Cross multiply
    390.52x = 585.82 × 134.04
  4. Step 4: Simplify right side
    390.52x = 78,523.31
  5. Step 5: Solve for x
    x = 78,523.31/390.52
  6. Step 6: Final answer
    x = 201.07

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