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Finding the Fourth Proportional to 474.66, 655.43 and 334.80

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Solution

The fourth proportional to 474.66, 655.43 and 334.80 is: 462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.66 : 655.43 = 334.80 : x
  2. Step 2: Convert to fraction form
    474.66/655.43 = 334.80/x
  3. Step 3: Cross multiply
    474.66x = 655.43 × 334.80
  4. Step 4: Simplify right side
    474.66x = 219,436.29
  5. Step 5: Solve for x
    x = 219,436.29/474.66
  6. Step 6: Final answer
    x = 462.30

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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.