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Finding the Fourth Proportional to 192.50, 288.79 and 78.50

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Solution

The fourth proportional to 192.50, 288.79 and 78.50 is: 117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.50 : 288.79 = 78.50 : x
  2. Step 2: Convert to fraction form
    192.50/288.79 = 78.50/x
  3. Step 3: Cross multiply
    192.50x = 288.79 × 78.50
  4. Step 4: Simplify right side
    192.50x = 22,670.02
  5. Step 5: Solve for x
    x = 22,670.02/192.50
  6. Step 6: Final answer
    x = 117.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.