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Finding the Fourth Proportional to 466.74, 643.86 and 280.17

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Solution

The fourth proportional to 466.74, 643.86 and 280.17 is: 386.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.74 : 643.86 = 280.17 : x
  2. Step 2: Convert to fraction form
    466.74/643.86 = 280.17/x
  3. Step 3: Cross multiply
    466.74x = 643.86 × 280.17
  4. Step 4: Simplify right side
    466.74x = 180,390.26
  5. Step 5: Solve for x
    x = 180,390.26/466.74
  6. Step 6: Final answer
    x = 386.49

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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.