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Finding the Fourth Proportional to 438, 604.35 and 272.25

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Solution

The fourth proportional to 438, 604.35 and 272.25 is: 375.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    438 : 604.35 = 272.25 : x
  2. Step 2: Convert to fraction form
    438/604.35 = 272.25/x
  3. Step 3: Cross multiply
    438x = 604.35 × 272.25
  4. Step 4: Simplify right side
    438x = 164,534.29
  5. Step 5: Solve for x
    x = 164,534.29/438
  6. Step 6: Final answer
    x = 375.65

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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.