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Finding the Fourth Proportional to 1,288.52, 1,932.80 and 364.10

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Solution

The fourth proportional to 1,288.52, 1,932.80 and 364.10 is: 546.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.52 : 1,932.80 = 364.10 : x
  2. Step 2: Convert to fraction form
    1,288.52/1,932.80 = 364.10/x
  3. Step 3: Cross multiply
    1,288.52x = 1,932.80 × 364.10
  4. Step 4: Simplify right side
    1,288.52x = 703,730.66
  5. Step 5: Solve for x
    x = 703,730.66/1,288.52
  6. Step 6: Final answer
    x = 546.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.