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Finding the Fourth Proportional to 388.52, 534.90 and 290.12

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Solution

The fourth proportional to 388.52, 534.90 and 290.12 is: 399.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.52 : 534.90 = 290.12 : x
  2. Step 2: Convert to fraction form
    388.52/534.90 = 290.12/x
  3. Step 3: Cross multiply
    388.52x = 534.90 × 290.12
  4. Step 4: Simplify right side
    388.52x = 155,185.19
  5. Step 5: Solve for x
    x = 155,185.19/388.52
  6. Step 6: Final answer
    x = 399.43

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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.