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Finding the Fourth Proportional to 253.32, 381.53 and 223.28

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Solution

The fourth proportional to 253.32, 381.53 and 223.28 is: 336.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.32 : 381.53 = 223.28 : x
  2. Step 2: Convert to fraction form
    253.32/381.53 = 223.28/x
  3. Step 3: Cross multiply
    253.32x = 381.53 × 223.28
  4. Step 4: Simplify right side
    253.32x = 85,188.02
  5. Step 5: Solve for x
    x = 85,188.02/253.32
  6. Step 6: Final answer
    x = 336.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.