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Finding the Fourth Proportional to 288.54, 397.42 and 222.02

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Solution

The fourth proportional to 288.54, 397.42 and 222.02 is: 305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.54 : 397.42 = 222.02 : x
  2. Step 2: Convert to fraction form
    288.54/397.42 = 222.02/x
  3. Step 3: Cross multiply
    288.54x = 397.42 × 222.02
  4. Step 4: Simplify right side
    288.54x = 88,235.19
  5. Step 5: Solve for x
    x = 88,235.19/288.54
  6. Step 6: Final answer
    x = 305.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.