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Finding the Fourth Proportional to 235.51, 351.26 and 206.81

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Solution

The fourth proportional to 235.51, 351.26 and 206.81 is: 308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.51 : 351.26 = 206.81 : x
  2. Step 2: Convert to fraction form
    235.51/351.26 = 206.81/x
  3. Step 3: Cross multiply
    235.51x = 351.26 × 206.81
  4. Step 4: Simplify right side
    235.51x = 72,641.29
  5. Step 5: Solve for x
    x = 72,641.29/235.51
  6. Step 6: Final answer
    x = 308.45

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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.