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Finding the Fourth Proportional to 488.05, 731.53 and 305.19

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Solution

The fourth proportional to 488.05, 731.53 and 305.19 is: 457.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.05 : 731.53 = 305.19 : x
  2. Step 2: Convert to fraction form
    488.05/731.53 = 305.19/x
  3. Step 3: Cross multiply
    488.05x = 731.53 × 305.19
  4. Step 4: Simplify right side
    488.05x = 223,255.64
  5. Step 5: Solve for x
    x = 223,255.64/488.05
  6. Step 6: Final answer
    x = 457.44

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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.