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Finding the Fourth Proportional to 397.96, 597.33 and 253.78

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Solution

The fourth proportional to 397.96, 597.33 and 253.78 is: 380.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.96 : 597.33 = 253.78 : x
  2. Step 2: Convert to fraction form
    397.96/597.33 = 253.78/x
  3. Step 3: Cross multiply
    397.96x = 597.33 × 253.78
  4. Step 4: Simplify right side
    397.96x = 151,590.41
  5. Step 5: Solve for x
    x = 151,590.41/397.96
  6. Step 6: Final answer
    x = 380.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.