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Finding the Fourth Proportional to 401.78, 602.32 and 218.98

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Solution

The fourth proportional to 401.78, 602.32 and 218.98 is: 328.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.78 : 602.32 = 218.98 : x
  2. Step 2: Convert to fraction form
    401.78/602.32 = 218.98/x
  3. Step 3: Cross multiply
    401.78x = 602.32 × 218.98
  4. Step 4: Simplify right side
    401.78x = 131,896.03
  5. Step 5: Solve for x
    x = 131,896.03/401.78
  6. Step 6: Final answer
    x = 328.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.