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Finding the Fourth Proportional to 293.64, 405.36 and 216

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Solution

The fourth proportional to 293.64, 405.36 and 216 is: 298.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.64 : 405.36 = 216 : x
  2. Step 2: Convert to fraction form
    293.64/405.36 = 216/x
  3. Step 3: Cross multiply
    293.64x = 405.36 × 216
  4. Step 4: Simplify right side
    293.64x = 87,557.76
  5. Step 5: Solve for x
    x = 87,557.76/293.64
  6. Step 6: Final answer
    x = 298.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.