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Finding the Fourth Proportional to 488.21, 731.60 and 244.40

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Solution

The fourth proportional to 488.21, 731.60 and 244.40 is: 366.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.21 : 731.60 = 244.40 : x
  2. Step 2: Convert to fraction form
    488.21/731.60 = 244.40/x
  3. Step 3: Cross multiply
    488.21x = 731.60 × 244.40
  4. Step 4: Simplify right side
    488.21x = 178,798.16
  5. Step 5: Solve for x
    x = 178,798.16/488.21
  6. Step 6: Final answer
    x = 366.24

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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.