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Finding the Fourth Proportional to 291.12, 398.54 and 289.10

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Solution

The fourth proportional to 291.12, 398.54 and 289.10 is: 395.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.12 : 398.54 = 289.10 : x
  2. Step 2: Convert to fraction form
    291.12/398.54 = 289.10/x
  3. Step 3: Cross multiply
    291.12x = 398.54 × 289.10
  4. Step 4: Simplify right side
    291.12x = 115,217.91
  5. Step 5: Solve for x
    x = 115,217.91/291.12
  6. Step 6: Final answer
    x = 395.77

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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.