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Finding the Fourth Proportional to 475.20, 655.58 and 298.08

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Solution

The fourth proportional to 475.20, 655.58 and 298.08 is: 411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.20 : 655.58 = 298.08 : x
  2. Step 2: Convert to fraction form
    475.20/655.58 = 298.08/x
  3. Step 3: Cross multiply
    475.20x = 655.58 × 298.08
  4. Step 4: Simplify right side
    475.20x = 195,416.03
  5. Step 5: Solve for x
    x = 195,416.03/475.20
  6. Step 6: Final answer
    x = 411.23

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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.