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Finding the Fourth Proportional to 342.54, 473.09 and 258.38

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Solution

The fourth proportional to 342.54, 473.09 and 258.38 is: 356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.54 : 473.09 = 258.38 : x
  2. Step 2: Convert to fraction form
    342.54/473.09 = 258.38/x
  3. Step 3: Cross multiply
    342.54x = 473.09 × 258.38
  4. Step 4: Simplify right side
    342.54x = 122,233.34
  5. Step 5: Solve for x
    x = 122,233.34/342.54
  6. Step 6: Final answer
    x = 356.84

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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.