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Finding the Fourth Proportional to 499.25, 748.67 and 152.48

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Solution

The fourth proportional to 499.25, 748.67 and 152.48 is: 228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.25 : 748.67 = 152.48 : x
  2. Step 2: Convert to fraction form
    499.25/748.67 = 152.48/x
  3. Step 3: Cross multiply
    499.25x = 748.67 × 152.48
  4. Step 4: Simplify right side
    499.25x = 114,158.31
  5. Step 5: Solve for x
    x = 114,158.31/499.25
  6. Step 6: Final answer
    x = 228.66

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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.