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Finding the Fourth Proportional to 416.16, 574.15 and 268.74

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Solution

The fourth proportional to 416.16, 574.15 and 268.74 is: 370.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.16 : 574.15 = 268.74 : x
  2. Step 2: Convert to fraction form
    416.16/574.15 = 268.74/x
  3. Step 3: Cross multiply
    416.16x = 574.15 × 268.74
  4. Step 4: Simplify right side
    416.16x = 154,297.07
  5. Step 5: Solve for x
    x = 154,297.07/416.16
  6. Step 6: Final answer
    x = 370.76

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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.