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Finding the Fourth Proportional to 288.93, 431.33 and 223.57

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Solution

The fourth proportional to 288.93, 431.33 and 223.57 is: 333.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.93 : 431.33 = 223.57 : x
  2. Step 2: Convert to fraction form
    288.93/431.33 = 223.57/x
  3. Step 3: Cross multiply
    288.93x = 431.33 × 223.57
  4. Step 4: Simplify right side
    288.93x = 96,432.45
  5. Step 5: Solve for x
    x = 96,432.45/288.93
  6. Step 6: Final answer
    x = 333.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.