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Finding the Fourth Proportional to 465.69, 642.48 and 279.18

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Solution

The fourth proportional to 465.69, 642.48 and 279.18 is: 385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.69 : 642.48 = 279.18 : x
  2. Step 2: Convert to fraction form
    465.69/642.48 = 279.18/x
  3. Step 3: Cross multiply
    465.69x = 642.48 × 279.18
  4. Step 4: Simplify right side
    465.69x = 179,367.57
  5. Step 5: Solve for x
    x = 179,367.57/465.69
  6. Step 6: Final answer
    x = 385.17

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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.