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Finding the Fourth Proportional to 465.70, 642.57 and 269.14

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Solution

The fourth proportional to 465.70, 642.57 and 269.14 is: 371.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.70 : 642.57 = 269.14 : x
  2. Step 2: Convert to fraction form
    465.70/642.57 = 269.14/x
  3. Step 3: Cross multiply
    465.70x = 642.57 × 269.14
  4. Step 4: Simplify right side
    465.70x = 172,941.29
  5. Step 5: Solve for x
    x = 172,941.29/465.70
  6. Step 6: Final answer
    x = 371.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.