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Finding the Fourth Proportional to 242.74, 363.79 and 127.28

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Solution

The fourth proportional to 242.74, 363.79 and 127.28 is: 190.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.74 : 363.79 = 127.28 : x
  2. Step 2: Convert to fraction form
    242.74/363.79 = 127.28/x
  3. Step 3: Cross multiply
    242.74x = 363.79 × 127.28
  4. Step 4: Simplify right side
    242.74x = 46,303.19
  5. Step 5: Solve for x
    x = 46,303.19/242.74
  6. Step 6: Final answer
    x = 190.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.