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Finding the Fourth Proportional to 251.15, 346.62 and 152.94

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Solution

The fourth proportional to 251.15, 346.62 and 152.94 is: 211.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.15 : 346.62 = 152.94 : x
  2. Step 2: Convert to fraction form
    251.15/346.62 = 152.94/x
  3. Step 3: Cross multiply
    251.15x = 346.62 × 152.94
  4. Step 4: Simplify right side
    251.15x = 53,012.06
  5. Step 5: Solve for x
    x = 53,012.06/251.15
  6. Step 6: Final answer
    x = 211.08

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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.