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Finding the Fourth Proportional to 671.16, 1,006.53 and 238.23

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Solution

The fourth proportional to 671.16, 1,006.53 and 238.23 is: 357.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.16 : 1,006.53 = 238.23 : x
  2. Step 2: Convert to fraction form
    671.16/1,006.53 = 238.23/x
  3. Step 3: Cross multiply
    671.16x = 1,006.53 × 238.23
  4. Step 4: Simplify right side
    671.16x = 239,785.64
  5. Step 5: Solve for x
    x = 239,785.64/671.16
  6. Step 6: Final answer
    x = 357.27

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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.