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Finding the Fourth Proportional to 251.61, 347.20 and 146.71

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Solution

The fourth proportional to 251.61, 347.20 and 146.71 is: 202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.61 : 347.20 = 146.71 : x
  2. Step 2: Convert to fraction form
    251.61/347.20 = 146.71/x
  3. Step 3: Cross multiply
    251.61x = 347.20 × 146.71
  4. Step 4: Simplify right side
    251.61x = 50,937.71
  5. Step 5: Solve for x
    x = 50,937.71/251.61
  6. Step 6: Final answer
    x = 202.45

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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.