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Finding the Fourth Proportional to 523.26, 722.27 and 302.29

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Solution

The fourth proportional to 523.26, 722.27 and 302.29 is: 417.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.26 : 722.27 = 302.29 : x
  2. Step 2: Convert to fraction form
    523.26/722.27 = 302.29/x
  3. Step 3: Cross multiply
    523.26x = 722.27 × 302.29
  4. Step 4: Simplify right side
    523.26x = 218,335.00
  5. Step 5: Solve for x
    x = 218,335.00/523.26
  6. Step 6: Final answer
    x = 417.26

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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.