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Finding the Fourth Proportional to 523.10, 721.86 and 290.21

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Solution

The fourth proportional to 523.10, 721.86 and 290.21 is: 400.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.10 : 721.86 = 290.21 : x
  2. Step 2: Convert to fraction form
    523.10/721.86 = 290.21/x
  3. Step 3: Cross multiply
    523.10x = 721.86 × 290.21
  4. Step 4: Simplify right side
    523.10x = 209,490.99
  5. Step 5: Solve for x
    x = 209,490.99/523.10
  6. Step 6: Final answer
    x = 400.48

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Why These Related Problems?

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