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Finding the Fourth Proportional to 337.69, 507.48 and 329.50

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Solution

The fourth proportional to 337.69, 507.48 and 329.50 is: 495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.69 : 507.48 = 329.50 : x
  2. Step 2: Convert to fraction form
    337.69/507.48 = 329.50/x
  3. Step 3: Cross multiply
    337.69x = 507.48 × 329.50
  4. Step 4: Simplify right side
    337.69x = 167,214.66
  5. Step 5: Solve for x
    x = 167,214.66/337.69
  6. Step 6: Final answer
    x = 495.17

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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.