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Finding the Fourth Proportional to 140.40, 209.32 and 127.58

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Solution

The fourth proportional to 140.40, 209.32 and 127.58 is: 190.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.40 : 209.32 = 127.58 : x
  2. Step 2: Convert to fraction form
    140.40/209.32 = 127.58/x
  3. Step 3: Cross multiply
    140.40x = 209.32 × 127.58
  4. Step 4: Simplify right side
    140.40x = 26,703.68
  5. Step 5: Solve for x
    x = 26,703.68/140.40
  6. Step 6: Final answer
    x = 190.20

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