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Finding the Fourth Proportional to 241.12, 332.35 and 153.64

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Solution

The fourth proportional to 241.12, 332.35 and 153.64 is: 211.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.12 : 332.35 = 153.64 : x
  2. Step 2: Convert to fraction form
    241.12/332.35 = 153.64/x
  3. Step 3: Cross multiply
    241.12x = 332.35 × 153.64
  4. Step 4: Simplify right side
    241.12x = 51,062.25
  5. Step 5: Solve for x
    x = 51,062.25/241.12
  6. Step 6: Final answer
    x = 211.77

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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.