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Finding the Fourth Proportional to 248.72, 371.29 and 216.32

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Solution

The fourth proportional to 248.72, 371.29 and 216.32 is: 322.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.72 : 371.29 = 216.32 : x
  2. Step 2: Convert to fraction form
    248.72/371.29 = 216.32/x
  3. Step 3: Cross multiply
    248.72x = 371.29 × 216.32
  4. Step 4: Simplify right side
    248.72x = 80,317.45
  5. Step 5: Solve for x
    x = 80,317.45/248.72
  6. Step 6: Final answer
    x = 322.92

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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.