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Finding the Fourth Proportional to 1,166, 1,749 and 300.32

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Solution

The fourth proportional to 1,166, 1,749 and 300.32 is: 450.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166 : 1,749 = 300.32 : x
  2. Step 2: Convert to fraction form
    1,166/1,749 = 300.32/x
  3. Step 3: Cross multiply
    1,166x = 1,749 × 300.32
  4. Step 4: Simplify right side
    1,166x = 525,259.68
  5. Step 5: Solve for x
    x = 525,259.68/1,166
  6. Step 6: Final answer
    x = 450.48

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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.