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Finding the Fourth Proportional to 237.49, 355.96 and 100.51

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Solution

The fourth proportional to 237.49, 355.96 and 100.51 is: 150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.49 : 355.96 = 100.51 : x
  2. Step 2: Convert to fraction form
    237.49/355.96 = 100.51/x
  3. Step 3: Cross multiply
    237.49x = 355.96 × 100.51
  4. Step 4: Simplify right side
    237.49x = 35,777.54
  5. Step 5: Solve for x
    x = 35,777.54/237.49
  6. Step 6: Final answer
    x = 150.65

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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.