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Finding the Fourth Proportional to 200.74, 275.53 and 178.42

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Solution

The fourth proportional to 200.74, 275.53 and 178.42 is: 244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.74 : 275.53 = 178.42 : x
  2. Step 2: Convert to fraction form
    200.74/275.53 = 178.42/x
  3. Step 3: Cross multiply
    200.74x = 275.53 × 178.42
  4. Step 4: Simplify right side
    200.74x = 49,159.17
  5. Step 5: Solve for x
    x = 49,159.17/200.74
  6. Step 6: Final answer
    x = 244.89

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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.