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Finding the Fourth Proportional to 438.01, 604.41 and 269.93

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Solution

The fourth proportional to 438.01, 604.41 and 269.93 is: 372.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.01 : 604.41 = 269.93 : x
  2. Step 2: Convert to fraction form
    438.01/604.41 = 269.93/x
  3. Step 3: Cross multiply
    438.01x = 604.41 × 269.93
  4. Step 4: Simplify right side
    438.01x = 163,150.66
  5. Step 5: Solve for x
    x = 163,150.66/438.01
  6. Step 6: Final answer
    x = 372.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.