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Finding the Fourth Proportional to 251.40, 346.68 and 207.60

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Solution

The fourth proportional to 251.40, 346.68 and 207.60 is: 286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.40 : 346.68 = 207.60 : x
  2. Step 2: Convert to fraction form
    251.40/346.68 = 207.60/x
  3. Step 3: Cross multiply
    251.40x = 346.68 × 207.60
  4. Step 4: Simplify right side
    251.40x = 71,970.77
  5. Step 5: Solve for x
    x = 71,970.77/251.40
  6. Step 6: Final answer
    x = 286.28

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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.