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Finding the Fourth Proportional to 303.50, 455.26 and 75.50

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Solution

The fourth proportional to 303.50, 455.26 and 75.50 is: 113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.50 : 455.26 = 75.50 : x
  2. Step 2: Convert to fraction form
    303.50/455.26 = 75.50/x
  3. Step 3: Cross multiply
    303.50x = 455.26 × 75.50
  4. Step 4: Simplify right side
    303.50x = 34,372.13
  5. Step 5: Solve for x
    x = 34,372.13/303.50
  6. Step 6: Final answer
    x = 113.25

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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.