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Finding the Fourth Proportional to 251.28, 346.68 and 153.06

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Solution

The fourth proportional to 251.28, 346.68 and 153.06 is: 211.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.28 : 346.68 = 153.06 : x
  2. Step 2: Convert to fraction form
    251.28/346.68 = 153.06/x
  3. Step 3: Cross multiply
    251.28x = 346.68 × 153.06
  4. Step 4: Simplify right side
    251.28x = 53,062.84
  5. Step 5: Solve for x
    x = 53,062.84/251.28
  6. Step 6: Final answer
    x = 211.17

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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.