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Finding the Fourth Proportional to 280.62, 387 and 192.06

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Solution

The fourth proportional to 280.62, 387 and 192.06 is: 264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.62 : 387 = 192.06 : x
  2. Step 2: Convert to fraction form
    280.62/387 = 192.06/x
  3. Step 3: Cross multiply
    280.62x = 387 × 192.06
  4. Step 4: Simplify right side
    280.62x = 74,327.22
  5. Step 5: Solve for x
    x = 74,327.22/280.62
  6. Step 6: Final answer
    x = 264.87

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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.