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Finding the Fourth Proportional to 306.95, 460.62 and 170.06

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Solution

The fourth proportional to 306.95, 460.62 and 170.06 is: 255.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.95 : 460.62 = 170.06 : x
  2. Step 2: Convert to fraction form
    306.95/460.62 = 170.06/x
  3. Step 3: Cross multiply
    306.95x = 460.62 × 170.06
  4. Step 4: Simplify right side
    306.95x = 78,330.73
  5. Step 5: Solve for x
    x = 78,330.73/306.95
  6. Step 6: Final answer
    x = 255.19

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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.