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Finding the Fourth Proportional to 240.30, 360 and 167.85

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Solution

The fourth proportional to 240.30, 360 and 167.85 is: 251.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.30 : 360 = 167.85 : x
  2. Step 2: Convert to fraction form
    240.30/360 = 167.85/x
  3. Step 3: Cross multiply
    240.30x = 360 × 167.85
  4. Step 4: Simplify right side
    240.30x = 60,426
  5. Step 5: Solve for x
    x = 60,426/240.30
  6. Step 6: Final answer
    x = 251.46

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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.