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Finding the Fourth Proportional to 416.72, 625.18 and 128.16

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Solution

The fourth proportional to 416.72, 625.18 and 128.16 is: 192.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.72 : 625.18 = 128.16 : x
  2. Step 2: Convert to fraction form
    416.72/625.18 = 128.16/x
  3. Step 3: Cross multiply
    416.72x = 625.18 × 128.16
  4. Step 4: Simplify right side
    416.72x = 80,123.07
  5. Step 5: Solve for x
    x = 80,123.07/416.72
  6. Step 6: Final answer
    x = 192.27

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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.