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Finding the Fourth Proportional to 293.16, 437.16 and 272.64

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Solution

The fourth proportional to 293.16, 437.16 and 272.64 is: 406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.16 : 437.16 = 272.64 : x
  2. Step 2: Convert to fraction form
    293.16/437.16 = 272.64/x
  3. Step 3: Cross multiply
    293.16x = 437.16 × 272.64
  4. Step 4: Simplify right side
    293.16x = 119,187.30
  5. Step 5: Solve for x
    x = 119,187.30/293.16
  6. Step 6: Final answer
    x = 406.56

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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.