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Finding the Fourth Proportional to 193.79, 288.81 and 187.64

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Solution

The fourth proportional to 193.79, 288.81 and 187.64 is: 279.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.79 : 288.81 = 187.64 : x
  2. Step 2: Convert to fraction form
    193.79/288.81 = 187.64/x
  3. Step 3: Cross multiply
    193.79x = 288.81 × 187.64
  4. Step 4: Simplify right side
    193.79x = 54,192.31
  5. Step 5: Solve for x
    x = 54,192.31/193.79
  6. Step 6: Final answer
    x = 279.64

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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.