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Finding the Fourth Proportional to 523.10, 721.92 and 290.24

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Solution

The fourth proportional to 523.10, 721.92 and 290.24 is: 400.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.10 : 721.92 = 290.24 : x
  2. Step 2: Convert to fraction form
    523.10/721.92 = 290.24/x
  3. Step 3: Cross multiply
    523.10x = 721.92 × 290.24
  4. Step 4: Simplify right side
    523.10x = 209,530.06
  5. Step 5: Solve for x
    x = 209,530.06/523.10
  6. Step 6: Final answer
    x = 400.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.