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Finding the Fourth Proportional to 397.85, 547.85 and 314.70

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Solution

The fourth proportional to 397.85, 547.85 and 314.70 is: 433.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.85 : 547.85 = 314.70 : x
  2. Step 2: Convert to fraction form
    397.85/547.85 = 314.70/x
  3. Step 3: Cross multiply
    397.85x = 547.85 × 314.70
  4. Step 4: Simplify right side
    397.85x = 172,409.18
  5. Step 5: Solve for x
    x = 172,409.18/397.85
  6. Step 6: Final answer
    x = 433.35

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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.