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Finding the Fourth Proportional to 430.62, 645.18 and 308.28

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Solution

The fourth proportional to 430.62, 645.18 and 308.28 is: 461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.62 : 645.18 = 308.28 : x
  2. Step 2: Convert to fraction form
    430.62/645.18 = 308.28/x
  3. Step 3: Cross multiply
    430.62x = 645.18 × 308.28
  4. Step 4: Simplify right side
    430.62x = 198,896.09
  5. Step 5: Solve for x
    x = 198,896.09/430.62
  6. Step 6: Final answer
    x = 461.88

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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.