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Finding the Fourth Proportional to 241.25, 333.08 and 152.77

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Solution

The fourth proportional to 241.25, 333.08 and 152.77 is: 210.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.25 : 333.08 = 152.77 : x
  2. Step 2: Convert to fraction form
    241.25/333.08 = 152.77/x
  3. Step 3: Cross multiply
    241.25x = 333.08 × 152.77
  4. Step 4: Simplify right side
    241.25x = 50,884.63
  5. Step 5: Solve for x
    x = 50,884.63/241.25
  6. Step 6: Final answer
    x = 210.92

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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.