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Finding the Fourth Proportional to 253.34, 349.52 and 160.06

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Solution

The fourth proportional to 253.34, 349.52 and 160.06 is: 220.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.34 : 349.52 = 160.06 : x
  2. Step 2: Convert to fraction form
    253.34/349.52 = 160.06/x
  3. Step 3: Cross multiply
    253.34x = 349.52 × 160.06
  4. Step 4: Simplify right side
    253.34x = 55,944.17
  5. Step 5: Solve for x
    x = 55,944.17/253.34
  6. Step 6: Final answer
    x = 220.83

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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.