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Finding the Fourth Proportional to 475.00, 655.25 and 288.56

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Solution

The fourth proportional to 475.00, 655.25 and 288.56 is: 398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.00 : 655.25 = 288.56 : x
  2. Step 2: Convert to fraction form
    475.00/655.25 = 288.56/x
  3. Step 3: Cross multiply
    475.00x = 655.25 × 288.56
  4. Step 4: Simplify right side
    475.00x = 189,079.14
  5. Step 5: Solve for x
    x = 189,079.14/475.00
  6. Step 6: Final answer
    x = 398.06

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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.