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Finding the Fourth Proportional to 291.66, 400.58 and 269.10

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Solution

The fourth proportional to 291.66, 400.58 and 269.10 is: 369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.66 : 400.58 = 269.10 : x
  2. Step 2: Convert to fraction form
    291.66/400.58 = 269.10/x
  3. Step 3: Cross multiply
    291.66x = 400.58 × 269.10
  4. Step 4: Simplify right side
    291.66x = 107,797.43
  5. Step 5: Solve for x
    x = 107,797.43/291.66
  6. Step 6: Final answer
    x = 369.60

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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.