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Finding the Fourth Proportional to 251.42, 347.00 and 151.89

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Solution

The fourth proportional to 251.42, 347.00 and 151.89 is: 209.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.42 : 347.00 = 151.89 : x
  2. Step 2: Convert to fraction form
    251.42/347.00 = 151.89/x
  3. Step 3: Cross multiply
    251.42x = 347.00 × 151.89
  4. Step 4: Simplify right side
    251.42x = 52,705.07
  5. Step 5: Solve for x
    x = 52,705.07/251.42
  6. Step 6: Final answer
    x = 209.63

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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.