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Finding the Fourth Proportional to 253.68, 349.89 and 154.10

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Solution

The fourth proportional to 253.68, 349.89 and 154.10 is: 212.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.68 : 349.89 = 154.10 : x
  2. Step 2: Convert to fraction form
    253.68/349.89 = 154.10/x
  3. Step 3: Cross multiply
    253.68x = 349.89 × 154.10
  4. Step 4: Simplify right side
    253.68x = 53,916.30
  5. Step 5: Solve for x
    x = 53,916.30/253.68
  6. Step 6: Final answer
    x = 212.54

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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.