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Finding the Fourth Proportional to 237.18, 355.77 and 100.22

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Solution

The fourth proportional to 237.18, 355.77 and 100.22 is: 150.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.18 : 355.77 = 100.22 : x
  2. Step 2: Convert to fraction form
    237.18/355.77 = 100.22/x
  3. Step 3: Cross multiply
    237.18x = 355.77 × 100.22
  4. Step 4: Simplify right side
    237.18x = 35,655.27
  5. Step 5: Solve for x
    x = 35,655.27/237.18
  6. Step 6: Final answer
    x = 150.33

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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.