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Finding the Fourth Proportional to 474.66, 655.11 and 278.29

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Solution

The fourth proportional to 474.66, 655.11 and 278.29 is: 384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.66 : 655.11 = 278.29 : x
  2. Step 2: Convert to fraction form
    474.66/655.11 = 278.29/x
  3. Step 3: Cross multiply
    474.66x = 655.11 × 278.29
  4. Step 4: Simplify right side
    474.66x = 182,308.48
  5. Step 5: Solve for x
    x = 182,308.48/474.66
  6. Step 6: Final answer
    x = 384.08

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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.