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Finding the Fourth Proportional to 337.34, 503.20 and 298.46

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Solution

The fourth proportional to 337.34, 503.20 and 298.46 is: 445.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.34 : 503.20 = 298.46 : x
  2. Step 2: Convert to fraction form
    337.34/503.20 = 298.46/x
  3. Step 3: Cross multiply
    337.34x = 503.20 × 298.46
  4. Step 4: Simplify right side
    337.34x = 150,185.07
  5. Step 5: Solve for x
    x = 150,185.07/337.34
  6. Step 6: Final answer
    x = 445.20

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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.