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Finding the Fourth Proportional to 474.27, 711.60 and 230.79

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Solution

The fourth proportional to 474.27, 711.60 and 230.79 is: 346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.27 : 711.60 = 230.79 : x
  2. Step 2: Convert to fraction form
    474.27/711.60 = 230.79/x
  3. Step 3: Cross multiply
    474.27x = 711.60 × 230.79
  4. Step 4: Simplify right side
    474.27x = 164,230.16
  5. Step 5: Solve for x
    x = 164,230.16/474.27
  6. Step 6: Final answer
    x = 346.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.