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Finding the Fourth Proportional to 208.49, 313.01 and 139.52

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Solution

The fourth proportional to 208.49, 313.01 and 139.52 is: 209.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.49 : 313.01 = 139.52 : x
  2. Step 2: Convert to fraction form
    208.49/313.01 = 139.52/x
  3. Step 3: Cross multiply
    208.49x = 313.01 × 139.52
  4. Step 4: Simplify right side
    208.49x = 43,672.16
  5. Step 5: Solve for x
    x = 43,672.16/208.49
  6. Step 6: Final answer
    x = 209.47

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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.