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Finding the Fourth Proportional to 237.84, 355.26 and 210.96

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Solution

The fourth proportional to 237.84, 355.26 and 210.96 is: 315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.84 : 355.26 = 210.96 : x
  2. Step 2: Convert to fraction form
    237.84/355.26 = 210.96/x
  3. Step 3: Cross multiply
    237.84x = 355.26 × 210.96
  4. Step 4: Simplify right side
    237.84x = 74,945.65
  5. Step 5: Solve for x
    x = 74,945.65/237.84
  6. Step 6: Final answer
    x = 315.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.