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Finding the Fourth Proportional to 280.25, 387.11 and 233.77

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Solution

The fourth proportional to 280.25, 387.11 and 233.77 is: 322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.25 : 387.11 = 233.77 : x
  2. Step 2: Convert to fraction form
    280.25/387.11 = 233.77/x
  3. Step 3: Cross multiply
    280.25x = 387.11 × 233.77
  4. Step 4: Simplify right side
    280.25x = 90,494.70
  5. Step 5: Solve for x
    x = 90,494.70/280.25
  6. Step 6: Final answer
    x = 322.91

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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.