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Finding the Fourth Proportional to 466.50, 643.76 and 280.08

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Solution

The fourth proportional to 466.50, 643.76 and 280.08 is: 386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.50 : 643.76 = 280.08 : x
  2. Step 2: Convert to fraction form
    466.50/643.76 = 280.08/x
  3. Step 3: Cross multiply
    466.50x = 643.76 × 280.08
  4. Step 4: Simplify right side
    466.50x = 180,304.30
  5. Step 5: Solve for x
    x = 180,304.30/466.50
  6. Step 6: Final answer
    x = 386.50

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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.