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Finding the Fourth Proportional to 291.35, 399.73 and 266.87

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Solution

The fourth proportional to 291.35, 399.73 and 266.87 is: 366.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.35 : 399.73 = 266.87 : x
  2. Step 2: Convert to fraction form
    291.35/399.73 = 266.87/x
  3. Step 3: Cross multiply
    291.35x = 399.73 × 266.87
  4. Step 4: Simplify right side
    291.35x = 106,675.95
  5. Step 5: Solve for x
    x = 106,675.95/291.35
  6. Step 6: Final answer
    x = 366.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.