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Finding the Fourth Proportional to 293.22, 437.30 and 279.55

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Solution

The fourth proportional to 293.22, 437.30 and 279.55 is: 416.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.22 : 437.30 = 279.55 : x
  2. Step 2: Convert to fraction form
    293.22/437.30 = 279.55/x
  3. Step 3: Cross multiply
    293.22x = 437.30 × 279.55
  4. Step 4: Simplify right side
    293.22x = 122,247.41
  5. Step 5: Solve for x
    x = 122,247.41/293.22
  6. Step 6: Final answer
    x = 416.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.