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Finding the Fourth Proportional to 300.77, 450.33 and 156.18

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Solution

The fourth proportional to 300.77, 450.33 and 156.18 is: 233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.77 : 450.33 = 156.18 : x
  2. Step 2: Convert to fraction form
    300.77/450.33 = 156.18/x
  3. Step 3: Cross multiply
    300.77x = 450.33 × 156.18
  4. Step 4: Simplify right side
    300.77x = 70,333.13
  5. Step 5: Solve for x
    x = 70,333.13/300.77
  6. Step 6: Final answer
    x = 233.85

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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.