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Finding the Fourth Proportional to 208.77, 314.06 and 178.69

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Solution

The fourth proportional to 208.77, 314.06 and 178.69 is: 268.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.77 : 314.06 = 178.69 : x
  2. Step 2: Convert to fraction form
    208.77/314.06 = 178.69/x
  3. Step 3: Cross multiply
    208.77x = 314.06 × 178.69
  4. Step 4: Simplify right side
    208.77x = 56,119.38
  5. Step 5: Solve for x
    x = 56,119.38/208.77
  6. Step 6: Final answer
    x = 268.81

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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.