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Finding the Fourth Proportional to 251.92, 347.40 and 210.64

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Solution

The fourth proportional to 251.92, 347.40 and 210.64 is: 290.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.92 : 347.40 = 210.64 : x
  2. Step 2: Convert to fraction form
    251.92/347.40 = 210.64/x
  3. Step 3: Cross multiply
    251.92x = 347.40 × 210.64
  4. Step 4: Simplify right side
    251.92x = 73,176.34
  5. Step 5: Solve for x
    x = 73,176.34/251.92
  6. Step 6: Final answer
    x = 290.47

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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.