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Finding the Fourth Proportional to 397.88, 597.18 and 192.59

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Solution

The fourth proportional to 397.88, 597.18 and 192.59 is: 289.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.88 : 597.18 = 192.59 : x
  2. Step 2: Convert to fraction form
    397.88/597.18 = 192.59/x
  3. Step 3: Cross multiply
    397.88x = 597.18 × 192.59
  4. Step 4: Simplify right side
    397.88x = 115,010.90
  5. Step 5: Solve for x
    x = 115,010.90/397.88
  6. Step 6: Final answer
    x = 289.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.