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Finding the Fourth Proportional to 772.02, 1,158.02 and 194.90

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Solution

The fourth proportional to 772.02, 1,158.02 and 194.90 is: 292.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.02 : 1,158.02 = 194.90 : x
  2. Step 2: Convert to fraction form
    772.02/1,158.02 = 194.90/x
  3. Step 3: Cross multiply
    772.02x = 1,158.02 × 194.90
  4. Step 4: Simplify right side
    772.02x = 225,698.10
  5. Step 5: Solve for x
    x = 225,698.10/772.02
  6. Step 6: Final answer
    x = 292.35

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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.