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Finding the Fourth Proportional to 466.79, 644.10 and 280.25

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Solution

The fourth proportional to 466.79, 644.10 and 280.25 is: 386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.79 : 644.10 = 280.25 : x
  2. Step 2: Convert to fraction form
    466.79/644.10 = 280.25/x
  3. Step 3: Cross multiply
    466.79x = 644.10 × 280.25
  4. Step 4: Simplify right side
    466.79x = 180,509.03
  5. Step 5: Solve for x
    x = 180,509.03/466.79
  6. Step 6: Final answer
    x = 386.70

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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.