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Finding the Fourth Proportional to 465.75, 643.14 and 349.92

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Solution

The fourth proportional to 465.75, 643.14 and 349.92 is: 483.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.75 : 643.14 = 349.92 : x
  2. Step 2: Convert to fraction form
    465.75/643.14 = 349.92/x
  3. Step 3: Cross multiply
    465.75x = 643.14 × 349.92
  4. Step 4: Simplify right side
    465.75x = 225,047.55
  5. Step 5: Solve for x
    x = 225,047.55/465.75
  6. Step 6: Final answer
    x = 483.19

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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.