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Finding the Fourth Proportional to 208.23, 312.39 and 104.17

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Solution

The fourth proportional to 208.23, 312.39 and 104.17 is: 156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.23 : 312.39 = 104.17 : x
  2. Step 2: Convert to fraction form
    208.23/312.39 = 104.17/x
  3. Step 3: Cross multiply
    208.23x = 312.39 × 104.17
  4. Step 4: Simplify right side
    208.23x = 32,541.93
  5. Step 5: Solve for x
    x = 32,541.93/208.23
  6. Step 6: Final answer
    x = 156.28

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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.