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Finding the Fourth Proportional to 140.63, 209.30 and 139.50

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Solution

The fourth proportional to 140.63, 209.30 and 139.50 is: 207.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.63 : 209.30 = 139.50 : x
  2. Step 2: Convert to fraction form
    140.63/209.30 = 139.50/x
  3. Step 3: Cross multiply
    140.63x = 209.30 × 139.50
  4. Step 4: Simplify right side
    140.63x = 29,196.65
  5. Step 5: Solve for x
    x = 29,196.65/140.63
  6. Step 6: Final answer
    x = 207.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.