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Finding the Fourth Proportional to 300.47, 450.77 and 95.02

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Solution

The fourth proportional to 300.47, 450.77 and 95.02 is: 142.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.47 : 450.77 = 95.02 : x
  2. Step 2: Convert to fraction form
    300.47/450.77 = 95.02/x
  3. Step 3: Cross multiply
    300.47x = 450.77 × 95.02
  4. Step 4: Simplify right side
    300.47x = 42,830.56
  5. Step 5: Solve for x
    x = 42,830.56/300.47
  6. Step 6: Final answer
    x = 142.55

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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.