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Finding the Fourth Proportional to 466.85, 644.32 and 270.38

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Solution

The fourth proportional to 466.85, 644.32 and 270.38 is: 373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.85 : 644.32 = 270.38 : x
  2. Step 2: Convert to fraction form
    466.85/644.32 = 270.38/x
  3. Step 3: Cross multiply
    466.85x = 644.32 × 270.38
  4. Step 4: Simplify right side
    466.85x = 174,211.24
  5. Step 5: Solve for x
    x = 174,211.24/466.85
  6. Step 6: Final answer
    x = 373.16

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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.