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Finding the Fourth Proportional to 253.48, 349.80 and 137.04

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Solution

The fourth proportional to 253.48, 349.80 and 137.04 is: 189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.48 : 349.80 = 137.04 : x
  2. Step 2: Convert to fraction form
    253.48/349.80 = 137.04/x
  3. Step 3: Cross multiply
    253.48x = 349.80 × 137.04
  4. Step 4: Simplify right side
    253.48x = 47,935.94
  5. Step 5: Solve for x
    x = 47,935.94/253.48
  6. Step 6: Final answer
    x = 189.11

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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.