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Finding the Fourth Proportional to 425.47, 638.40 and 271.36

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Solution

The fourth proportional to 425.47, 638.40 and 271.36 is: 407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.47 : 638.40 = 271.36 : x
  2. Step 2: Convert to fraction form
    425.47/638.40 = 271.36/x
  3. Step 3: Cross multiply
    425.47x = 638.40 × 271.36
  4. Step 4: Simplify right side
    425.47x = 173,236.22
  5. Step 5: Solve for x
    x = 173,236.22/425.47
  6. Step 6: Final answer
    x = 407.16

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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.