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Finding the Fourth Proportional to 357.24, 495.31 and 337.80

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Solution

The fourth proportional to 357.24, 495.31 and 337.80 is: 468.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.24 : 495.31 = 337.80 : x
  2. Step 2: Convert to fraction form
    357.24/495.31 = 337.80/x
  3. Step 3: Cross multiply
    357.24x = 495.31 × 337.80
  4. Step 4: Simplify right side
    357.24x = 167,315.72
  5. Step 5: Solve for x
    x = 167,315.72/357.24
  6. Step 6: Final answer
    x = 468.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.