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Finding the Fourth Proportional to 332.66, 459.27 and 222.12

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Solution

The fourth proportional to 332.66, 459.27 and 222.12 is: 306.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.66 : 459.27 = 222.12 : x
  2. Step 2: Convert to fraction form
    332.66/459.27 = 222.12/x
  3. Step 3: Cross multiply
    332.66x = 459.27 × 222.12
  4. Step 4: Simplify right side
    332.66x = 102,011.76
  5. Step 5: Solve for x
    x = 102,011.76/332.66
  6. Step 6: Final answer
    x = 306.65

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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.