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Finding the Fourth Proportional to 280.31, 387.11 and 222.53

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Solution

The fourth proportional to 280.31, 387.11 and 222.53 is: 307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.31 : 387.11 = 222.53 : x
  2. Step 2: Convert to fraction form
    280.31/387.11 = 222.53/x
  3. Step 3: Cross multiply
    280.31x = 387.11 × 222.53
  4. Step 4: Simplify right side
    280.31x = 86,142.21
  5. Step 5: Solve for x
    x = 86,142.21/280.31
  6. Step 6: Final answer
    x = 307.32

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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.