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Finding the Fourth Proportional to 337.12, 505.86 and 192.88

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Solution

The fourth proportional to 337.12, 505.86 and 192.88 is: 289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.12 : 505.86 = 192.88 : x
  2. Step 2: Convert to fraction form
    337.12/505.86 = 192.88/x
  3. Step 3: Cross multiply
    337.12x = 505.86 × 192.88
  4. Step 4: Simplify right side
    337.12x = 97,570.28
  5. Step 5: Solve for x
    x = 97,570.28/337.12
  6. Step 6: Final answer
    x = 289.42

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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.