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Finding the Fourth Proportional to 437.32, 655.34 and 315.84

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Solution

The fourth proportional to 437.32, 655.34 and 315.84 is: 473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.32 : 655.34 = 315.84 : x
  2. Step 2: Convert to fraction form
    437.32/655.34 = 315.84/x
  3. Step 3: Cross multiply
    437.32x = 655.34 × 315.84
  4. Step 4: Simplify right side
    437.32x = 206,982.59
  5. Step 5: Solve for x
    x = 206,982.59/437.32
  6. Step 6: Final answer
    x = 473.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.