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Finding the Fourth Proportional to 426.06, 585.09 and 382.32

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Solution

The fourth proportional to 426.06, 585.09 and 382.32 is: 525.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.06 : 585.09 = 382.32 : x
  2. Step 2: Convert to fraction form
    426.06/585.09 = 382.32/x
  3. Step 3: Cross multiply
    426.06x = 585.09 × 382.32
  4. Step 4: Simplify right side
    426.06x = 223,691.61
  5. Step 5: Solve for x
    x = 223,691.61/426.06
  6. Step 6: Final answer
    x = 525.02

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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.