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Finding the Fourth Proportional to 468, 644.40 and 369.42

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Solution

The fourth proportional to 468, 644.40 and 369.42 is: 508.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    468 : 644.40 = 369.42 : x
  2. Step 2: Convert to fraction form
    468/644.40 = 369.42/x
  3. Step 3: Cross multiply
    468x = 644.40 × 369.42
  4. Step 4: Simplify right side
    468x = 238,054.25
  5. Step 5: Solve for x
    x = 238,054.25/468
  6. Step 6: Final answer
    x = 508.66

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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.