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Finding the Fourth Proportional to 342.62, 469.73 and 336.47

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Solution

The fourth proportional to 342.62, 469.73 and 336.47 is: 461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.62 : 469.73 = 336.47 : x
  2. Step 2: Convert to fraction form
    342.62/469.73 = 336.47/x
  3. Step 3: Cross multiply
    342.62x = 469.73 × 336.47
  4. Step 4: Simplify right side
    342.62x = 158,046.02
  5. Step 5: Solve for x
    x = 158,046.02/342.62
  6. Step 6: Final answer
    x = 461.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.