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Finding the Fourth Proportional to 412.97, 570.70 and 308.40

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Solution

The fourth proportional to 412.97, 570.70 and 308.40 is: 426.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.97 : 570.70 = 308.40 : x
  2. Step 2: Convert to fraction form
    412.97/570.70 = 308.40/x
  3. Step 3: Cross multiply
    412.97x = 570.70 × 308.40
  4. Step 4: Simplify right side
    412.97x = 176,002.13
  5. Step 5: Solve for x
    x = 176,002.13/412.97
  6. Step 6: Final answer
    x = 426.19

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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.