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Finding the Fourth Proportional to 438.06, 604.22 and 272.00

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Solution

The fourth proportional to 438.06, 604.22 and 272.00 is: 375.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.06 : 604.22 = 272.00 : x
  2. Step 2: Convert to fraction form
    438.06/604.22 = 272.00/x
  3. Step 3: Cross multiply
    438.06x = 604.22 × 272.00
  4. Step 4: Simplify right side
    438.06x = 164,343.46
  5. Step 5: Solve for x
    x = 164,343.46/438.06
  6. Step 6: Final answer
    x = 375.16

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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.