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Finding the Fourth Proportional to 397.67, 547.58 and 314.51

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Solution

The fourth proportional to 397.67, 547.58 and 314.51 is: 433.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.67 : 547.58 = 314.51 : x
  2. Step 2: Convert to fraction form
    397.67/547.58 = 314.51/x
  3. Step 3: Cross multiply
    397.67x = 547.58 × 314.51
  4. Step 4: Simplify right side
    397.67x = 172,217.43
  5. Step 5: Solve for x
    x = 172,217.43/397.67
  6. Step 6: Final answer
    x = 433.07

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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.