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Finding the Fourth Proportional to 371.56, 512.76 and 216.40

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Solution

The fourth proportional to 371.56, 512.76 and 216.40 is: 298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.56 : 512.76 = 216.40 : x
  2. Step 2: Convert to fraction form
    371.56/512.76 = 216.40/x
  3. Step 3: Cross multiply
    371.56x = 512.76 × 216.40
  4. Step 4: Simplify right side
    371.56x = 110,961.26
  5. Step 5: Solve for x
    x = 110,961.26/371.56
  6. Step 6: Final answer
    x = 298.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.