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Finding the Fourth Proportional to 409.01, 564.43 and 222.50

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Solution

The fourth proportional to 409.01, 564.43 and 222.50 is: 307.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.01 : 564.43 = 222.50 : x
  2. Step 2: Convert to fraction form
    409.01/564.43 = 222.50/x
  3. Step 3: Cross multiply
    409.01x = 564.43 × 222.50
  4. Step 4: Simplify right side
    409.01x = 125,582.85
  5. Step 5: Solve for x
    x = 125,582.85/409.01
  6. Step 6: Final answer
    x = 307.04

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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.