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Finding the Fourth Proportional to 251.31, 346.71 and 153.06

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Solution

The fourth proportional to 251.31, 346.71 and 153.06 is: 211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.31 : 346.71 = 153.06 : x
  2. Step 2: Convert to fraction form
    251.31/346.71 = 153.06/x
  3. Step 3: Cross multiply
    251.31x = 346.71 × 153.06
  4. Step 4: Simplify right side
    251.31x = 53,065.41
  5. Step 5: Solve for x
    x = 53,065.41/251.31
  6. Step 6: Final answer
    x = 211.15

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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.