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Finding the Fourth Proportional to 416.61, 574.65 and 250.83

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Solution

The fourth proportional to 416.61, 574.65 and 250.83 is: 345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.61 : 574.65 = 250.83 : x
  2. Step 2: Convert to fraction form
    416.61/574.65 = 250.83/x
  3. Step 3: Cross multiply
    416.61x = 574.65 × 250.83
  4. Step 4: Simplify right side
    416.61x = 144,139.46
  5. Step 5: Solve for x
    x = 144,139.46/416.61
  6. Step 6: Final answer
    x = 345.98

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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.