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Finding the Fourth Proportional to 262.28, 392.88 and 213.32

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Solution

The fourth proportional to 262.28, 392.88 and 213.32 is: 319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.28 : 392.88 = 213.32 : x
  2. Step 2: Convert to fraction form
    262.28/392.88 = 213.32/x
  3. Step 3: Cross multiply
    262.28x = 392.88 × 213.32
  4. Step 4: Simplify right side
    262.28x = 83,809.16
  5. Step 5: Solve for x
    x = 83,809.16/262.28
  6. Step 6: Final answer
    x = 319.54

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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.