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Finding the Fourth Proportional to 423.18, 634.71 and 115.07

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Solution

The fourth proportional to 423.18, 634.71 and 115.07 is: 172.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.18 : 634.71 = 115.07 : x
  2. Step 2: Convert to fraction form
    423.18/634.71 = 115.07/x
  3. Step 3: Cross multiply
    423.18x = 634.71 × 115.07
  4. Step 4: Simplify right side
    423.18x = 73,032.91
  5. Step 5: Solve for x
    x = 73,032.91/423.18
  6. Step 6: Final answer
    x = 172.58

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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.