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Finding the Fourth Proportional to 291.02, 400.72 and 197.72

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Solution

The fourth proportional to 291.02, 400.72 and 197.72 is: 272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.02 : 400.72 = 197.72 : x
  2. Step 2: Convert to fraction form
    291.02/400.72 = 197.72/x
  3. Step 3: Cross multiply
    291.02x = 400.72 × 197.72
  4. Step 4: Simplify right side
    291.02x = 79,230.36
  5. Step 5: Solve for x
    x = 79,230.36/291.02
  6. Step 6: Final answer
    x = 272.25

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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.