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Finding the Fourth Proportional to 280.11, 416.99 and 266.85

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Solution

The fourth proportional to 280.11, 416.99 and 266.85 is: 397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.11 : 416.99 = 266.85 : x
  2. Step 2: Convert to fraction form
    280.11/416.99 = 266.85/x
  3. Step 3: Cross multiply
    280.11x = 416.99 × 266.85
  4. Step 4: Simplify right side
    280.11x = 111,274.45
  5. Step 5: Solve for x
    x = 111,274.45/280.11
  6. Step 6: Final answer
    x = 397.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.