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Finding the Fourth Proportional to 253.49, 349.64 and 155.08

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Solution

The fourth proportional to 253.49, 349.64 and 155.08 is: 213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.49 : 349.64 = 155.08 : x
  2. Step 2: Convert to fraction form
    253.49/349.64 = 155.08/x
  3. Step 3: Cross multiply
    253.49x = 349.64 × 155.08
  4. Step 4: Simplify right side
    253.49x = 54,221.68
  5. Step 5: Solve for x
    x = 54,221.68/253.49
  6. Step 6: Final answer
    x = 213.90

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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.