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Finding the Fourth Proportional to 345.28, 475.80 and 322.72

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Solution

The fourth proportional to 345.28, 475.80 and 322.72 is: 444.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.28 : 475.80 = 322.72 : x
  2. Step 2: Convert to fraction form
    345.28/475.80 = 322.72/x
  3. Step 3: Cross multiply
    345.28x = 475.80 × 322.72
  4. Step 4: Simplify right side
    345.28x = 153,550.18
  5. Step 5: Solve for x
    x = 153,550.18/345.28
  6. Step 6: Final answer
    x = 444.71

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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.