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Finding the Fourth Proportional to 465.64, 642.67 and 269.15

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Solution

The fourth proportional to 465.64, 642.67 and 269.15 is: 371.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.64 : 642.67 = 269.15 : x
  2. Step 2: Convert to fraction form
    465.64/642.67 = 269.15/x
  3. Step 3: Cross multiply
    465.64x = 642.67 × 269.15
  4. Step 4: Simplify right side
    465.64x = 172,974.63
  5. Step 5: Solve for x
    x = 172,974.63/465.64
  6. Step 6: Final answer
    x = 371.48

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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.