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Finding the Fourth Proportional to 416.64, 625.76 and 272.64

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Solution

The fourth proportional to 416.64, 625.76 and 272.64 is: 409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.64 : 625.76 = 272.64 : x
  2. Step 2: Convert to fraction form
    416.64/625.76 = 272.64/x
  3. Step 3: Cross multiply
    416.64x = 625.76 × 272.64
  4. Step 4: Simplify right side
    416.64x = 170,607.21
  5. Step 5: Solve for x
    x = 170,607.21/416.64
  6. Step 6: Final answer
    x = 409.48

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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.