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Finding the Fourth Proportional to 208.95, 312.60 and 140.14

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Solution

The fourth proportional to 208.95, 312.60 and 140.14 is: 209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.95 : 312.60 = 140.14 : x
  2. Step 2: Convert to fraction form
    208.95/312.60 = 140.14/x
  3. Step 3: Cross multiply
    208.95x = 312.60 × 140.14
  4. Step 4: Simplify right side
    208.95x = 43,807.76
  5. Step 5: Solve for x
    x = 43,807.76/208.95
  6. Step 6: Final answer
    x = 209.66

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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.