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Finding the Fourth Proportional to 291.15, 435.06 and 254.09

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Solution

The fourth proportional to 291.15, 435.06 and 254.09 is: 379.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.15 : 435.06 = 254.09 : x
  2. Step 2: Convert to fraction form
    291.15/435.06 = 254.09/x
  3. Step 3: Cross multiply
    291.15x = 435.06 × 254.09
  4. Step 4: Simplify right side
    291.15x = 110,545.48
  5. Step 5: Solve for x
    x = 110,545.48/291.15
  6. Step 6: Final answer
    x = 379.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.