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Finding the Fourth Proportional to 193.83, 288.90 and 187.50

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Solution

The fourth proportional to 193.83, 288.90 and 187.50 is: 279.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.83 : 288.90 = 187.50 : x
  2. Step 2: Convert to fraction form
    193.83/288.90 = 187.50/x
  3. Step 3: Cross multiply
    193.83x = 288.90 × 187.50
  4. Step 4: Simplify right side
    193.83x = 54,168.75
  5. Step 5: Solve for x
    x = 54,168.75/193.83
  6. Step 6: Final answer
    x = 279.47

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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.