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Finding the Fourth Proportional to 208.70, 314.20 and 184.46

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Solution

The fourth proportional to 208.70, 314.20 and 184.46 is: 277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.70 : 314.20 = 184.46 : x
  2. Step 2: Convert to fraction form
    208.70/314.20 = 184.46/x
  3. Step 3: Cross multiply
    208.70x = 314.20 × 184.46
  4. Step 4: Simplify right side
    208.70x = 57,955.30
  5. Step 5: Solve for x
    x = 57,955.30/208.70
  6. Step 6: Final answer
    x = 277.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.