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Finding the Fourth Proportional to 488.47, 731.94 and 305.31

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Solution

The fourth proportional to 488.47, 731.94 and 305.31 is: 457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.47 : 731.94 = 305.31 : x
  2. Step 2: Convert to fraction form
    488.47/731.94 = 305.31/x
  3. Step 3: Cross multiply
    488.47x = 731.94 × 305.31
  4. Step 4: Simplify right side
    488.47x = 223,468.60
  5. Step 5: Solve for x
    x = 223,468.60/488.47
  6. Step 6: Final answer
    x = 457.49

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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.