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Finding the Fourth Proportional to 253.48, 349.84 and 170.72

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Solution

The fourth proportional to 253.48, 349.84 and 170.72 is: 235.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.48 : 349.84 = 170.72 : x
  2. Step 2: Convert to fraction form
    253.48/349.84 = 170.72/x
  3. Step 3: Cross multiply
    253.48x = 349.84 × 170.72
  4. Step 4: Simplify right side
    253.48x = 59,724.68
  5. Step 5: Solve for x
    x = 59,724.68/253.48
  6. Step 6: Final answer
    x = 235.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.