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Finding the Fourth Proportional to 341.38, 469.92 and 258.34

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Solution

The fourth proportional to 341.38, 469.92 and 258.34 is: 355.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.38 : 469.92 = 258.34 : x
  2. Step 2: Convert to fraction form
    341.38/469.92 = 258.34/x
  3. Step 3: Cross multiply
    341.38x = 469.92 × 258.34
  4. Step 4: Simplify right side
    341.38x = 121,399.13
  5. Step 5: Solve for x
    x = 121,399.13/341.38
  6. Step 6: Final answer
    x = 355.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.