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Finding the Fourth Proportional to 238.12, 328.48 and 176.12

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Solution

The fourth proportional to 238.12, 328.48 and 176.12 is: 242.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.12 : 328.48 = 176.12 : x
  2. Step 2: Convert to fraction form
    238.12/328.48 = 176.12/x
  3. Step 3: Cross multiply
    238.12x = 328.48 × 176.12
  4. Step 4: Simplify right side
    238.12x = 57,851.90
  5. Step 5: Solve for x
    x = 57,851.90/238.12
  6. Step 6: Final answer
    x = 242.95

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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.