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Finding the Fourth Proportional to 400.89, 600.80 and 238.35

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Solution

The fourth proportional to 400.89, 600.80 and 238.35 is: 357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.89 : 600.80 = 238.35 : x
  2. Step 2: Convert to fraction form
    400.89/600.80 = 238.35/x
  3. Step 3: Cross multiply
    400.89x = 600.80 × 238.35
  4. Step 4: Simplify right side
    400.89x = 143,199.49
  5. Step 5: Solve for x
    x = 143,199.49/400.89
  6. Step 6: Final answer
    x = 357.20

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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.