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Finding the Fourth Proportional to 465.75, 643.01 and 279.30

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Solution

The fourth proportional to 465.75, 643.01 and 279.30 is: 385.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.75 : 643.01 = 279.30 : x
  2. Step 2: Convert to fraction form
    465.75/643.01 = 279.30/x
  3. Step 3: Cross multiply
    465.75x = 643.01 × 279.30
  4. Step 4: Simplify right side
    465.75x = 179,592.69
  5. Step 5: Solve for x
    x = 179,592.69/465.75
  6. Step 6: Final answer
    x = 385.60

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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.