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Finding the Fourth Proportional to 220.05, 305.64 and 210.87

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Solution

The fourth proportional to 220.05, 305.64 and 210.87 is: 292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.05 : 305.64 = 210.87 : x
  2. Step 2: Convert to fraction form
    220.05/305.64 = 210.87/x
  3. Step 3: Cross multiply
    220.05x = 305.64 × 210.87
  4. Step 4: Simplify right side
    220.05x = 64,450.31
  5. Step 5: Solve for x
    x = 64,450.31/220.05
  6. Step 6: Final answer
    x = 292.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.