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Finding the Fourth Proportional to 466.45, 644.24 and 368.08

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Solution

The fourth proportional to 466.45, 644.24 and 368.08 is: 508.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.45 : 644.24 = 368.08 : x
  2. Step 2: Convert to fraction form
    466.45/644.24 = 368.08/x
  3. Step 3: Cross multiply
    466.45x = 644.24 × 368.08
  4. Step 4: Simplify right side
    466.45x = 237,131.86
  5. Step 5: Solve for x
    x = 237,131.86/466.45
  6. Step 6: Final answer
    x = 508.38

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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.