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Finding the Fourth Proportional to 488.34, 731.94 and 293.60

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Solution

The fourth proportional to 488.34, 731.94 and 293.60 is: 440.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.34 : 731.94 = 293.60 : x
  2. Step 2: Convert to fraction form
    488.34/731.94 = 293.60/x
  3. Step 3: Cross multiply
    488.34x = 731.94 × 293.60
  4. Step 4: Simplify right side
    488.34x = 214,897.58
  5. Step 5: Solve for x
    x = 214,897.58/488.34
  6. Step 6: Final answer
    x = 440.06

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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.