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Finding the Fourth Proportional to 253.58, 347.41 and 243.86

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Solution

The fourth proportional to 253.58, 347.41 and 243.86 is: 334.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.58 : 347.41 = 243.86 : x
  2. Step 2: Convert to fraction form
    253.58/347.41 = 243.86/x
  3. Step 3: Cross multiply
    253.58x = 347.41 × 243.86
  4. Step 4: Simplify right side
    253.58x = 84,719.40
  5. Step 5: Solve for x
    x = 84,719.40/253.58
  6. Step 6: Final answer
    x = 334.09

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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.