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Finding the Fourth Proportional to 577.40, 866.14 and 248.28

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Solution

The fourth proportional to 577.40, 866.14 and 248.28 is: 372.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.40 : 866.14 = 248.28 : x
  2. Step 2: Convert to fraction form
    577.40/866.14 = 248.28/x
  3. Step 3: Cross multiply
    577.40x = 866.14 × 248.28
  4. Step 4: Simplify right side
    577.40x = 215,045.24
  5. Step 5: Solve for x
    x = 215,045.24/577.40
  6. Step 6: Final answer
    x = 372.44

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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.