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Finding the Fourth Proportional to 253.57, 349.93 and 137.14

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Solution

The fourth proportional to 253.57, 349.93 and 137.14 is: 189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.57 : 349.93 = 137.14 : x
  2. Step 2: Convert to fraction form
    253.57/349.93 = 137.14/x
  3. Step 3: Cross multiply
    253.57x = 349.93 × 137.14
  4. Step 4: Simplify right side
    253.57x = 47,988.04
  5. Step 5: Solve for x
    x = 47,988.04/253.57
  6. Step 6: Final answer
    x = 189.25

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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.