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Finding the Fourth Proportional to 225.15, 336.08 and 208.66

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Solution

The fourth proportional to 225.15, 336.08 and 208.66 is: 311.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.15 : 336.08 = 208.66 : x
  2. Step 2: Convert to fraction form
    225.15/336.08 = 208.66/x
  3. Step 3: Cross multiply
    225.15x = 336.08 × 208.66
  4. Step 4: Simplify right side
    225.15x = 70,125.41
  5. Step 5: Solve for x
    x = 70,125.41/225.15
  6. Step 6: Final answer
    x = 311.46

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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.