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Finding the Fourth Proportional to 287.19, 430.84 and 140.92

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Solution

The fourth proportional to 287.19, 430.84 and 140.92 is: 211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.19 : 430.84 = 140.92 : x
  2. Step 2: Convert to fraction form
    287.19/430.84 = 140.92/x
  3. Step 3: Cross multiply
    287.19x = 430.84 × 140.92
  4. Step 4: Simplify right side
    287.19x = 60,713.87
  5. Step 5: Solve for x
    x = 60,713.87/287.19
  6. Step 6: Final answer
    x = 211.41

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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.