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Finding the Fourth Proportional to 1,110.01, 1,665.03 and 288.23

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Solution

The fourth proportional to 1,110.01, 1,665.03 and 288.23 is: 432.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.01 : 1,665.03 = 288.23 : x
  2. Step 2: Convert to fraction form
    1,110.01/1,665.03 = 288.23/x
  3. Step 3: Cross multiply
    1,110.01x = 1,665.03 × 288.23
  4. Step 4: Simplify right side
    1,110.01x = 479,910.16
  5. Step 5: Solve for x
    x = 479,910.16/1,110.01
  6. Step 6: Final answer
    x = 432.35

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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.