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Finding the Fourth Proportional to 466.62, 643.88 and 280.08

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Solution

The fourth proportional to 466.62, 643.88 and 280.08 is: 386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.62 : 643.88 = 280.08 : x
  2. Step 2: Convert to fraction form
    466.62/643.88 = 280.08/x
  3. Step 3: Cross multiply
    466.62x = 643.88 × 280.08
  4. Step 4: Simplify right side
    466.62x = 180,336.51
  5. Step 5: Solve for x
    x = 180,336.51/466.62
  6. Step 6: Final answer
    x = 386.47

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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.