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Finding the Fourth Proportional to 237.95, 356.32 and 210.82

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Solution

The fourth proportional to 237.95, 356.32 and 210.82 is: 315.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.95 : 356.32 = 210.82 : x
  2. Step 2: Convert to fraction form
    237.95/356.32 = 210.82/x
  3. Step 3: Cross multiply
    237.95x = 356.32 × 210.82
  4. Step 4: Simplify right side
    237.95x = 75,117.07
  5. Step 5: Solve for x
    x = 75,117.07/237.95
  6. Step 6: Final answer
    x = 315.68

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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.