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Finding the Fourth Proportional to 438.78, 602.31 and 399.90

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Solution

The fourth proportional to 438.78, 602.31 and 399.90 is: 548.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.78 : 602.31 = 399.90 : x
  2. Step 2: Convert to fraction form
    438.78/602.31 = 399.90/x
  3. Step 3: Cross multiply
    438.78x = 602.31 × 399.90
  4. Step 4: Simplify right side
    438.78x = 240,863.77
  5. Step 5: Solve for x
    x = 240,863.77/438.78
  6. Step 6: Final answer
    x = 548.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.