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Finding the Fourth Proportional to 253.86, 382.34 and 237.66

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Solution

The fourth proportional to 253.86, 382.34 and 237.66 is: 357.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.86 : 382.34 = 237.66 : x
  2. Step 2: Convert to fraction form
    253.86/382.34 = 237.66/x
  3. Step 3: Cross multiply
    253.86x = 382.34 × 237.66
  4. Step 4: Simplify right side
    253.86x = 90,866.92
  5. Step 5: Solve for x
    x = 90,866.92/253.86
  6. Step 6: Final answer
    x = 357.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.