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Finding the Fourth Proportional to 291.40, 408.50 and 291.40

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Solution

The fourth proportional to 291.40, 408.50 and 291.40 is: 408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.40 : 408.50 = 291.40 : x
  2. Step 2: Convert to fraction form
    291.40/408.50 = 291.40/x
  3. Step 3: Cross multiply
    291.40x = 408.50 × 291.40
  4. Step 4: Simplify right side
    291.40x = 119,036.90
  5. Step 5: Solve for x
    x = 119,036.90/291.40
  6. Step 6: Final answer
    x = 408.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.