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Finding the Fourth Proportional to 287.45, 430.41 and 196.32

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Solution

The fourth proportional to 287.45, 430.41 and 196.32 is: 293.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.45 : 430.41 = 196.32 : x
  2. Step 2: Convert to fraction form
    287.45/430.41 = 196.32/x
  3. Step 3: Cross multiply
    287.45x = 430.41 × 196.32
  4. Step 4: Simplify right side
    287.45x = 84,499.34
  5. Step 5: Solve for x
    x = 84,499.34/287.45
  6. Step 6: Final answer
    x = 293.96

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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.