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Finding the Fourth Proportional to 475.35, 655.74 and 298.23

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Solution

The fourth proportional to 475.35, 655.74 and 298.23 is: 411.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.35 : 655.74 = 298.23 : x
  2. Step 2: Convert to fraction form
    475.35/655.74 = 298.23/x
  3. Step 3: Cross multiply
    475.35x = 655.74 × 298.23
  4. Step 4: Simplify right side
    475.35x = 195,561.34
  5. Step 5: Solve for x
    x = 195,561.34/475.35
  6. Step 6: Final answer
    x = 411.40

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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.