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Finding the Fourth Proportional to 238.40, 357.05 and 169.55

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Solution

The fourth proportional to 238.40, 357.05 and 169.55 is: 253.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.40 : 357.05 = 169.55 : x
  2. Step 2: Convert to fraction form
    238.40/357.05 = 169.55/x
  3. Step 3: Cross multiply
    238.40x = 357.05 × 169.55
  4. Step 4: Simplify right side
    238.40x = 60,536.47
  5. Step 5: Solve for x
    x = 60,536.47/238.40
  6. Step 6: Final answer
    x = 253.93

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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.