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Finding the Fourth Proportional to 397.23, 591.16 and 382.65

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Solution

The fourth proportional to 397.23, 591.16 and 382.65 is: 569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.23 : 591.16 = 382.65 : x
  2. Step 2: Convert to fraction form
    397.23/591.16 = 382.65/x
  3. Step 3: Cross multiply
    397.23x = 591.16 × 382.65
  4. Step 4: Simplify right side
    397.23x = 226,207.37
  5. Step 5: Solve for x
    x = 226,207.37/397.23
  6. Step 6: Final answer
    x = 569.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.