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Finding the Fourth Proportional to 291.50, 401.71 and 193.08

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Solution

The fourth proportional to 291.50, 401.71 and 193.08 is: 266.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.50 : 401.71 = 193.08 : x
  2. Step 2: Convert to fraction form
    291.50/401.71 = 193.08/x
  3. Step 3: Cross multiply
    291.50x = 401.71 × 193.08
  4. Step 4: Simplify right side
    291.50x = 77,563.55
  5. Step 5: Solve for x
    x = 77,563.55/291.50
  6. Step 6: Final answer
    x = 266.09

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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.