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Finding the Fourth Proportional to 382.95, 528.34 and 241.02

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Solution

The fourth proportional to 382.95, 528.34 and 241.02 is: 332.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.95 : 528.34 = 241.02 : x
  2. Step 2: Convert to fraction form
    382.95/528.34 = 241.02/x
  3. Step 3: Cross multiply
    382.95x = 528.34 × 241.02
  4. Step 4: Simplify right side
    382.95x = 127,340.51
  5. Step 5: Solve for x
    x = 127,340.51/382.95
  6. Step 6: Final answer
    x = 332.53

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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.