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Finding the Fourth Proportional to 280.74, 387.31 and 170.16

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Solution

The fourth proportional to 280.74, 387.31 and 170.16 is: 234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.74 : 387.31 = 170.16 : x
  2. Step 2: Convert to fraction form
    280.74/387.31 = 170.16/x
  3. Step 3: Cross multiply
    280.74x = 387.31 × 170.16
  4. Step 4: Simplify right side
    280.74x = 65,904.67
  5. Step 5: Solve for x
    x = 65,904.67/280.74
  6. Step 6: Final answer
    x = 234.75

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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.