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Finding the Fourth Proportional to 280.98, 387.66 and 170.40

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Solution

The fourth proportional to 280.98, 387.66 and 170.40 is: 235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.98 : 387.66 = 170.40 : x
  2. Step 2: Convert to fraction form
    280.98/387.66 = 170.40/x
  3. Step 3: Cross multiply
    280.98x = 387.66 × 170.40
  4. Step 4: Simplify right side
    280.98x = 66,057.26
  5. Step 5: Solve for x
    x = 66,057.26/280.98
  6. Step 6: Final answer
    x = 235.10

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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.