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Finding the Fourth Proportional to 287.82, 430.98 and 222.62

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Solution

The fourth proportional to 287.82, 430.98 and 222.62 is: 333.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.82 : 430.98 = 222.62 : x
  2. Step 2: Convert to fraction form
    287.82/430.98 = 222.62/x
  3. Step 3: Cross multiply
    287.82x = 430.98 × 222.62
  4. Step 4: Simplify right side
    287.82x = 95,944.77
  5. Step 5: Solve for x
    x = 95,944.77/287.82
  6. Step 6: Final answer
    x = 333.35

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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.