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Finding the Fourth Proportional to 339.60, 468.60 and 190.20

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Solution

The fourth proportional to 339.60, 468.60 and 190.20 is: 262.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.60 : 468.60 = 190.20 : x
  2. Step 2: Convert to fraction form
    339.60/468.60 = 190.20/x
  3. Step 3: Cross multiply
    339.60x = 468.60 × 190.20
  4. Step 4: Simplify right side
    339.60x = 89,127.72
  5. Step 5: Solve for x
    x = 89,127.72/339.60
  6. Step 6: Final answer
    x = 262.45

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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.