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Finding the Fourth Proportional to 416.42, 574.49 and 269.00

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Solution

The fourth proportional to 416.42, 574.49 and 269.00 is: 371.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.42 : 574.49 = 269.00 : x
  2. Step 2: Convert to fraction form
    416.42/574.49 = 269.00/x
  3. Step 3: Cross multiply
    416.42x = 574.49 × 269.00
  4. Step 4: Simplify right side
    416.42x = 154,533.59
  5. Step 5: Solve for x
    x = 154,533.59/416.42
  6. Step 6: Final answer
    x = 371.10

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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.