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Finding the Fourth Proportional to 237.15, 355.08 and 188.17

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Solution

The fourth proportional to 237.15, 355.08 and 188.17 is: 281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.15 : 355.08 = 188.17 : x
  2. Step 2: Convert to fraction form
    237.15/355.08 = 188.17/x
  3. Step 3: Cross multiply
    237.15x = 355.08 × 188.17
  4. Step 4: Simplify right side
    237.15x = 66,817.22
  5. Step 5: Solve for x
    x = 66,817.22/237.15
  6. Step 6: Final answer
    x = 281.75

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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.