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Finding the Fourth Proportional to 249.51, 374.06 and 216.94

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Solution

The fourth proportional to 249.51, 374.06 and 216.94 is: 325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.51 : 374.06 = 216.94 : x
  2. Step 2: Convert to fraction form
    249.51/374.06 = 216.94/x
  3. Step 3: Cross multiply
    249.51x = 374.06 × 216.94
  4. Step 4: Simplify right side
    249.51x = 81,146.71
  5. Step 5: Solve for x
    x = 81,146.71/249.51
  6. Step 6: Final answer
    x = 325.22

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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.