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Finding the Fourth Proportional to 222, 332.52 and 140.77

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Solution

The fourth proportional to 222, 332.52 and 140.77 is: 210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222 : 332.52 = 140.77 : x
  2. Step 2: Convert to fraction form
    222/332.52 = 140.77/x
  3. Step 3: Cross multiply
    222x = 332.52 × 140.77
  4. Step 4: Simplify right side
    222x = 46,808.84
  5. Step 5: Solve for x
    x = 46,808.84/222
  6. Step 6: Final answer
    x = 210.85

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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.