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Finding the Fourth Proportional to 466.85, 644.08 and 280.40

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Solution

The fourth proportional to 466.85, 644.08 and 280.40 is: 386.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.85 : 644.08 = 280.40 : x
  2. Step 2: Convert to fraction form
    466.85/644.08 = 280.40/x
  3. Step 3: Cross multiply
    466.85x = 644.08 × 280.40
  4. Step 4: Simplify right side
    466.85x = 180,596.11
  5. Step 5: Solve for x
    x = 180,596.11/466.85
  6. Step 6: Final answer
    x = 386.84

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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.