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Finding the Fourth Proportional to 400.44, 602.48 and 238.22

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Solution

The fourth proportional to 400.44, 602.48 and 238.22 is: 358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.44 : 602.48 = 238.22 : x
  2. Step 2: Convert to fraction form
    400.44/602.48 = 238.22/x
  3. Step 3: Cross multiply
    400.44x = 602.48 × 238.22
  4. Step 4: Simplify right side
    400.44x = 143,522.79
  5. Step 5: Solve for x
    x = 143,522.79/400.44
  6. Step 6: Final answer
    x = 358.41

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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.