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Finding the Fourth Proportional to 291.17, 404.63 and 288.20

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Solution

The fourth proportional to 291.17, 404.63 and 288.20 is: 400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.17 : 404.63 = 288.20 : x
  2. Step 2: Convert to fraction form
    291.17/404.63 = 288.20/x
  3. Step 3: Cross multiply
    291.17x = 404.63 × 288.20
  4. Step 4: Simplify right side
    291.17x = 116,610.90
  5. Step 5: Solve for x
    x = 116,610.90/291.17
  6. Step 6: Final answer
    x = 400.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.