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Finding the Fourth Proportional to 418.12, 577.14 and 243.52

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Solution

The fourth proportional to 418.12, 577.14 and 243.52 is: 336.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.12 : 577.14 = 243.52 : x
  2. Step 2: Convert to fraction form
    418.12/577.14 = 243.52/x
  3. Step 3: Cross multiply
    418.12x = 577.14 × 243.52
  4. Step 4: Simplify right side
    418.12x = 140,545.13
  5. Step 5: Solve for x
    x = 140,545.13/418.12
  6. Step 6: Final answer
    x = 336.14

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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.