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Finding the Fourth Proportional to 253.12, 378.81 and 160.52

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Solution

The fourth proportional to 253.12, 378.81 and 160.52 is: 240.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.12 : 378.81 = 160.52 : x
  2. Step 2: Convert to fraction form
    253.12/378.81 = 160.52/x
  3. Step 3: Cross multiply
    253.12x = 378.81 × 160.52
  4. Step 4: Simplify right side
    253.12x = 60,806.58
  5. Step 5: Solve for x
    x = 60,806.58/253.12
  6. Step 6: Final answer
    x = 240.23

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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.