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Finding the Fourth Proportional to 178.28, 244.42 and 175.04

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Solution

The fourth proportional to 178.28, 244.42 and 175.04 is: 239.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.28 : 244.42 = 175.04 : x
  2. Step 2: Convert to fraction form
    178.28/244.42 = 175.04/x
  3. Step 3: Cross multiply
    178.28x = 244.42 × 175.04
  4. Step 4: Simplify right side
    178.28x = 42,783.28
  5. Step 5: Solve for x
    x = 42,783.28/178.28
  6. Step 6: Final answer
    x = 239.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.