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Finding the Fourth Proportional to 1,109.99, 1,665 and 288.21

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Solution

The fourth proportional to 1,109.99, 1,665 and 288.21 is: 432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.99 : 1,665 = 288.21 : x
  2. Step 2: Convert to fraction form
    1,109.99/1,665 = 288.21/x
  3. Step 3: Cross multiply
    1,109.99x = 1,665 × 288.21
  4. Step 4: Simplify right side
    1,109.99x = 479,869.65
  5. Step 5: Solve for x
    x = 479,869.65/1,109.99
  6. Step 6: Final answer
    x = 432.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.