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Finding the Fourth Proportional to 397.74, 548.52 and 309.24

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Solution

The fourth proportional to 397.74, 548.52 and 309.24 is: 426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.74 : 548.52 = 309.24 : x
  2. Step 2: Convert to fraction form
    397.74/548.52 = 309.24/x
  3. Step 3: Cross multiply
    397.74x = 548.52 × 309.24
  4. Step 4: Simplify right side
    397.74x = 169,624.32
  5. Step 5: Solve for x
    x = 169,624.32/397.74
  6. Step 6: Final answer
    x = 426.47

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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.