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Finding the Fourth Proportional to 371.13, 556.70 and 216.74

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Solution

The fourth proportional to 371.13, 556.70 and 216.74 is: 325.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.13 : 556.70 = 216.74 : x
  2. Step 2: Convert to fraction form
    371.13/556.70 = 216.74/x
  3. Step 3: Cross multiply
    371.13x = 556.70 × 216.74
  4. Step 4: Simplify right side
    371.13x = 120,655.29
  5. Step 5: Solve for x
    x = 120,655.29/371.13
  6. Step 6: Final answer
    x = 325.10

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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.