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Finding the Fourth Proportional to 402.73, 599.36 and 388.15

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Solution

The fourth proportional to 402.73, 599.36 and 388.15 is: 577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.73 : 599.36 = 388.15 : x
  2. Step 2: Convert to fraction form
    402.73/599.36 = 388.15/x
  3. Step 3: Cross multiply
    402.73x = 599.36 × 388.15
  4. Step 4: Simplify right side
    402.73x = 232,638.14
  5. Step 5: Solve for x
    x = 232,638.14/402.73
  6. Step 6: Final answer
    x = 577.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.