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Finding the Fourth Proportional to 380.91, 525.71 and 241.02

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Solution

The fourth proportional to 380.91, 525.71 and 241.02 is: 332.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.91 : 525.71 = 241.02 : x
  2. Step 2: Convert to fraction form
    380.91/525.71 = 241.02/x
  3. Step 3: Cross multiply
    380.91x = 525.71 × 241.02
  4. Step 4: Simplify right side
    380.91x = 126,704.39
  5. Step 5: Solve for x
    x = 126,704.39/380.91
  6. Step 6: Final answer
    x = 332.64

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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.