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Finding the Fourth Proportional to 193.56, 288.56 and 178.08

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Solution

The fourth proportional to 193.56, 288.56 and 178.08 is: 265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.56 : 288.56 = 178.08 : x
  2. Step 2: Convert to fraction form
    193.56/288.56 = 178.08/x
  3. Step 3: Cross multiply
    193.56x = 288.56 × 178.08
  4. Step 4: Simplify right side
    193.56x = 51,386.76
  5. Step 5: Solve for x
    x = 51,386.76/193.56
  6. Step 6: Final answer
    x = 265.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.