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Finding the Fourth Proportional to 813.42, 1,220.25 and 236.22

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Solution

The fourth proportional to 813.42, 1,220.25 and 236.22 is: 354.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.42 : 1,220.25 = 236.22 : x
  2. Step 2: Convert to fraction form
    813.42/1,220.25 = 236.22/x
  3. Step 3: Cross multiply
    813.42x = 1,220.25 × 236.22
  4. Step 4: Simplify right side
    813.42x = 288,247.46
  5. Step 5: Solve for x
    x = 288,247.46/813.42
  6. Step 6: Final answer
    x = 354.36

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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.