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Finding the Fourth Proportional to 178.40, 244.58 and 175.71

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Solution

The fourth proportional to 178.40, 244.58 and 175.71 is: 240.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.40 : 244.58 = 175.71 : x
  2. Step 2: Convert to fraction form
    178.40/244.58 = 175.71/x
  3. Step 3: Cross multiply
    178.40x = 244.58 × 175.71
  4. Step 4: Simplify right side
    178.40x = 42,975.15
  5. Step 5: Solve for x
    x = 42,975.15/178.40
  6. Step 6: Final answer
    x = 240.89

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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.