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Finding the Fourth Proportional to 298.60, 447.30 and 170.20

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Solution

The fourth proportional to 298.60, 447.30 and 170.20 is: 254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.60 : 447.30 = 170.20 : x
  2. Step 2: Convert to fraction form
    298.60/447.30 = 170.20/x
  3. Step 3: Cross multiply
    298.60x = 447.30 × 170.20
  4. Step 4: Simplify right side
    298.60x = 76,130.46
  5. Step 5: Solve for x
    x = 76,130.46/298.60
  6. Step 6: Final answer
    x = 254.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.