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Finding the Fourth Proportional to 434.97, 650.05 and 318.08

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Solution

The fourth proportional to 434.97, 650.05 and 318.08 is: 475.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.97 : 650.05 = 318.08 : x
  2. Step 2: Convert to fraction form
    434.97/650.05 = 318.08/x
  3. Step 3: Cross multiply
    434.97x = 650.05 × 318.08
  4. Step 4: Simplify right side
    434.97x = 206,767.07
  5. Step 5: Solve for x
    x = 206,767.07/434.97
  6. Step 6: Final answer
    x = 475.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.