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Finding the Fourth Proportional to 144.90, 199.79 and 101.16

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Solution

The fourth proportional to 144.90, 199.79 and 101.16 is: 139.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.90 : 199.79 = 101.16 : x
  2. Step 2: Convert to fraction form
    144.90/199.79 = 101.16/x
  3. Step 3: Cross multiply
    144.90x = 199.79 × 101.16
  4. Step 4: Simplify right side
    144.90x = 20,210.76
  5. Step 5: Solve for x
    x = 20,210.76/144.90
  6. Step 6: Final answer
    x = 139.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.