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Finding the Fourth Proportional to 291.30, 400.19 and 260.62

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Solution

The fourth proportional to 291.30, 400.19 and 260.62 is: 358.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.30 : 400.19 = 260.62 : x
  2. Step 2: Convert to fraction form
    291.30/400.19 = 260.62/x
  3. Step 3: Cross multiply
    291.30x = 400.19 × 260.62
  4. Step 4: Simplify right side
    291.30x = 104,296.68
  5. Step 5: Solve for x
    x = 104,296.68/291.30
  6. Step 6: Final answer
    x = 358.04

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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.