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Finding the Fourth Proportional to 339.87, 469.00 and 192.50

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Solution

The fourth proportional to 339.87, 469.00 and 192.50 is: 265.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.87 : 469.00 = 192.50 : x
  2. Step 2: Convert to fraction form
    339.87/469.00 = 192.50/x
  3. Step 3: Cross multiply
    339.87x = 469.00 × 192.50
  4. Step 4: Simplify right side
    339.87x = 90,280.50
  5. Step 5: Solve for x
    x = 90,280.50/339.87
  6. Step 6: Final answer
    x = 265.64

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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.