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Finding the Fourth Proportional to 418.24, 577.08 and 278.20

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Solution

The fourth proportional to 418.24, 577.08 and 278.20 is: 383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.24 : 577.08 = 278.20 : x
  2. Step 2: Convert to fraction form
    418.24/577.08 = 278.20/x
  3. Step 3: Cross multiply
    418.24x = 577.08 × 278.20
  4. Step 4: Simplify right side
    418.24x = 160,543.66
  5. Step 5: Solve for x
    x = 160,543.66/418.24
  6. Step 6: Final answer
    x = 383.86

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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.