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Finding the Fourth Proportional to 241.16, 332.82 and 202.28

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Solution

The fourth proportional to 241.16, 332.82 and 202.28 is: 279.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.16 : 332.82 = 202.28 : x
  2. Step 2: Convert to fraction form
    241.16/332.82 = 202.28/x
  3. Step 3: Cross multiply
    241.16x = 332.82 × 202.28
  4. Step 4: Simplify right side
    241.16x = 67,322.83
  5. Step 5: Solve for x
    x = 67,322.83/241.16
  6. Step 6: Final answer
    x = 279.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.