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Finding the Fourth Proportional to 577.26, 865.80 and 248.13

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Solution

The fourth proportional to 577.26, 865.80 and 248.13 is: 372.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.26 : 865.80 = 248.13 : x
  2. Step 2: Convert to fraction form
    577.26/865.80 = 248.13/x
  3. Step 3: Cross multiply
    577.26x = 865.80 × 248.13
  4. Step 4: Simplify right side
    577.26x = 214,830.95
  5. Step 5: Solve for x
    x = 214,830.95/577.26
  6. Step 6: Final answer
    x = 372.16

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Why These Related Problems?

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