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Finding the Fourth Proportional to 293.42, 437.13 and 279.66

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Solution

The fourth proportional to 293.42, 437.13 and 279.66 is: 416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.42 : 437.13 = 279.66 : x
  2. Step 2: Convert to fraction form
    293.42/437.13 = 279.66/x
  3. Step 3: Cross multiply
    293.42x = 437.13 × 279.66
  4. Step 4: Simplify right side
    293.42x = 122,247.78
  5. Step 5: Solve for x
    x = 122,247.78/293.42
  6. Step 6: Final answer
    x = 416.63

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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.