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Finding the Fourth Proportional to 342.54, 472.58 and 263.92

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Solution

The fourth proportional to 342.54, 472.58 and 263.92 is: 364.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.54 : 472.58 = 263.92 : x
  2. Step 2: Convert to fraction form
    342.54/472.58 = 263.92/x
  3. Step 3: Cross multiply
    342.54x = 472.58 × 263.92
  4. Step 4: Simplify right side
    342.54x = 124,723.31
  5. Step 5: Solve for x
    x = 124,723.31/342.54
  6. Step 6: Final answer
    x = 364.11

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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.