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Finding the Fourth Proportional to 342.41, 469.97 and 304.74

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Solution

The fourth proportional to 342.41, 469.97 and 304.74 is: 418.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.41 : 469.97 = 304.74 : x
  2. Step 2: Convert to fraction form
    342.41/469.97 = 304.74/x
  3. Step 3: Cross multiply
    342.41x = 469.97 × 304.74
  4. Step 4: Simplify right side
    342.41x = 143,217.13
  5. Step 5: Solve for x
    x = 143,217.13/342.41
  6. Step 6: Final answer
    x = 418.27

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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.