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Finding the Fourth Proportional to 465.69, 642.47 and 288.60

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Solution

The fourth proportional to 465.69, 642.47 and 288.60 is: 398.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.69 : 642.47 = 288.60 : x
  2. Step 2: Convert to fraction form
    465.69/642.47 = 288.60/x
  3. Step 3: Cross multiply
    465.69x = 642.47 × 288.60
  4. Step 4: Simplify right side
    465.69x = 185,414.61
  5. Step 5: Solve for x
    x = 185,414.61/465.69
  6. Step 6: Final answer
    x = 398.15

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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.