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Finding the Fourth Proportional to 287.30, 431.10 and 195.81

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Solution

The fourth proportional to 287.30, 431.10 and 195.81 is: 293.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.30 : 431.10 = 195.81 : x
  2. Step 2: Convert to fraction form
    287.30/431.10 = 195.81/x
  3. Step 3: Cross multiply
    287.30x = 431.10 × 195.81
  4. Step 4: Simplify right side
    287.30x = 84,413.69
  5. Step 5: Solve for x
    x = 84,413.69/287.30
  6. Step 6: Final answer
    x = 293.82

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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.