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Finding the Fourth Proportional to 397.13, 548.35 and 314.66

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Solution

The fourth proportional to 397.13, 548.35 and 314.66 is: 434.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.13 : 548.35 = 314.66 : x
  2. Step 2: Convert to fraction form
    397.13/548.35 = 314.66/x
  3. Step 3: Cross multiply
    397.13x = 548.35 × 314.66
  4. Step 4: Simplify right side
    397.13x = 172,544.40
  5. Step 5: Solve for x
    x = 172,544.40/397.13
  6. Step 6: Final answer
    x = 434.48

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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.