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Finding the Fourth Proportional to 253.52, 378.22 and 215.28

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Solution

The fourth proportional to 253.52, 378.22 and 215.28 is: 321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.52 : 378.22 = 215.28 : x
  2. Step 2: Convert to fraction form
    253.52/378.22 = 215.28/x
  3. Step 3: Cross multiply
    253.52x = 378.22 × 215.28
  4. Step 4: Simplify right side
    253.52x = 81,423.20
  5. Step 5: Solve for x
    x = 81,423.20/253.52
  6. Step 6: Final answer
    x = 321.17

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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.