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Finding the Fourth Proportional to 253.32, 347.70 and 225.06

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Solution

The fourth proportional to 253.32, 347.70 and 225.06 is: 308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.32 : 347.70 = 225.06 : x
  2. Step 2: Convert to fraction form
    253.32/347.70 = 225.06/x
  3. Step 3: Cross multiply
    253.32x = 347.70 × 225.06
  4. Step 4: Simplify right side
    253.32x = 78,253.36
  5. Step 5: Solve for x
    x = 78,253.36/253.32
  6. Step 6: Final answer
    x = 308.91

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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.