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Finding the Fourth Proportional to 410.90, 567 and 236.22

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Solution

The fourth proportional to 410.90, 567 and 236.22 is: 325.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.90 : 567 = 236.22 : x
  2. Step 2: Convert to fraction form
    410.90/567 = 236.22/x
  3. Step 3: Cross multiply
    410.90x = 567 × 236.22
  4. Step 4: Simplify right side
    410.90x = 133,936.74
  5. Step 5: Solve for x
    x = 133,936.74/410.90
  6. Step 6: Final answer
    x = 325.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.