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Finding the Fourth Proportional to 243.71, 365.76 and 128.19

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Solution

The fourth proportional to 243.71, 365.76 and 128.19 is: 192.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.71 : 365.76 = 128.19 : x
  2. Step 2: Convert to fraction form
    243.71/365.76 = 128.19/x
  3. Step 3: Cross multiply
    243.71x = 365.76 × 128.19
  4. Step 4: Simplify right side
    243.71x = 46,886.77
  5. Step 5: Solve for x
    x = 46,886.77/243.71
  6. Step 6: Final answer
    x = 192.39

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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.