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Finding the Fourth Proportional to 409.05, 564.93 and 311.22

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Solution

The fourth proportional to 409.05, 564.93 and 311.22 is: 429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.05 : 564.93 = 311.22 : x
  2. Step 2: Convert to fraction form
    409.05/564.93 = 311.22/x
  3. Step 3: Cross multiply
    409.05x = 564.93 × 311.22
  4. Step 4: Simplify right side
    409.05x = 175,817.51
  5. Step 5: Solve for x
    x = 175,817.51/409.05
  6. Step 6: Final answer
    x = 429.82

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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.