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Finding the Fourth Proportional to 474.82, 655.41 and 288.43

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Solution

The fourth proportional to 474.82, 655.41 and 288.43 is: 398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.82 : 655.41 = 288.43 : x
  2. Step 2: Convert to fraction form
    474.82/655.41 = 288.43/x
  3. Step 3: Cross multiply
    474.82x = 655.41 × 288.43
  4. Step 4: Simplify right side
    474.82x = 189,039.91
  5. Step 5: Solve for x
    x = 189,039.91/474.82
  6. Step 6: Final answer
    x = 398.13

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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.