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Finding the Fourth Proportional to 251.73, 347.38 and 152.21

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Solution

The fourth proportional to 251.73, 347.38 and 152.21 is: 210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.73 : 347.38 = 152.21 : x
  2. Step 2: Convert to fraction form
    251.73/347.38 = 152.21/x
  3. Step 3: Cross multiply
    251.73x = 347.38 × 152.21
  4. Step 4: Simplify right side
    251.73x = 52,875.20
  5. Step 5: Solve for x
    x = 52,875.20/251.73
  6. Step 6: Final answer
    x = 210.05

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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.