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Finding the Fourth Proportional to 342.23, 470.21 and 286.54

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Solution

The fourth proportional to 342.23, 470.21 and 286.54 is: 393.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.23 : 470.21 = 286.54 : x
  2. Step 2: Convert to fraction form
    342.23/470.21 = 286.54/x
  3. Step 3: Cross multiply
    342.23x = 470.21 × 286.54
  4. Step 4: Simplify right side
    342.23x = 134,731.37
  5. Step 5: Solve for x
    x = 134,731.37/342.23
  6. Step 6: Final answer
    x = 393.69

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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.