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Finding the Fourth Proportional to 193.98, 288.68 and 187.50

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Solution

The fourth proportional to 193.98, 288.68 and 187.50 is: 279.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.98 : 288.68 = 187.50 : x
  2. Step 2: Convert to fraction form
    193.98/288.68 = 187.50/x
  3. Step 3: Cross multiply
    193.98x = 288.68 × 187.50
  4. Step 4: Simplify right side
    193.98x = 54,127.50
  5. Step 5: Solve for x
    x = 54,127.50/193.98
  6. Step 6: Final answer
    x = 279.04

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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.