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Finding the Fourth Proportional to 337.70, 459.77 and 336.65

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Solution

The fourth proportional to 337.70, 459.77 and 336.65 is: 458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.70 : 459.77 = 336.65 : x
  2. Step 2: Convert to fraction form
    337.70/459.77 = 336.65/x
  3. Step 3: Cross multiply
    337.70x = 459.77 × 336.65
  4. Step 4: Simplify right side
    337.70x = 154,777.59
  5. Step 5: Solve for x
    x = 154,777.59/337.70
  6. Step 6: Final answer
    x = 458.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.