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Finding the Fourth Proportional to 465.97, 643.16 and 308.53

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Solution

The fourth proportional to 465.97, 643.16 and 308.53 is: 425.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.97 : 643.16 = 308.53 : x
  2. Step 2: Convert to fraction form
    465.97/643.16 = 308.53/x
  3. Step 3: Cross multiply
    465.97x = 643.16 × 308.53
  4. Step 4: Simplify right side
    465.97x = 198,430.38
  5. Step 5: Solve for x
    x = 198,430.38/465.97
  6. Step 6: Final answer
    x = 425.84

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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.