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Finding the Fourth Proportional to 400.73, 600.59 and 192.50

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Solution

The fourth proportional to 400.73, 600.59 and 192.50 is: 288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.73 : 600.59 = 192.50 : x
  2. Step 2: Convert to fraction form
    400.73/600.59 = 192.50/x
  3. Step 3: Cross multiply
    400.73x = 600.59 × 192.50
  4. Step 4: Simplify right side
    400.73x = 115,609.61
  5. Step 5: Solve for x
    x = 115,609.61/400.73
  6. Step 6: Final answer
    x = 288.50

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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.