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Finding the Fourth Proportional to 475.64, 655.80 and 344.60

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Solution

The fourth proportional to 475.64, 655.80 and 344.60 is: 475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.64 : 655.80 = 344.60 : x
  2. Step 2: Convert to fraction form
    475.64/655.80 = 344.60/x
  3. Step 3: Cross multiply
    475.64x = 655.80 × 344.60
  4. Step 4: Simplify right side
    475.64x = 225,988.68
  5. Step 5: Solve for x
    x = 225,988.68/475.64
  6. Step 6: Final answer
    x = 475.13

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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.