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Finding the Fourth Proportional to 251.17, 346.50 and 152.75

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Solution

The fourth proportional to 251.17, 346.50 and 152.75 is: 210.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.17 : 346.50 = 152.75 : x
  2. Step 2: Convert to fraction form
    251.17/346.50 = 152.75/x
  3. Step 3: Cross multiply
    251.17x = 346.50 × 152.75
  4. Step 4: Simplify right side
    251.17x = 52,928.74
  5. Step 5: Solve for x
    x = 52,928.74/251.17
  6. Step 6: Final answer
    x = 210.73

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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.