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Finding the Fourth Proportional to 278.32, 384.22 and 216.01

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Solution

The fourth proportional to 278.32, 384.22 and 216.01 is: 298.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.32 : 384.22 = 216.01 : x
  2. Step 2: Convert to fraction form
    278.32/384.22 = 216.01/x
  3. Step 3: Cross multiply
    278.32x = 384.22 × 216.01
  4. Step 4: Simplify right side
    278.32x = 82,995.36
  5. Step 5: Solve for x
    x = 82,995.36/278.32
  6. Step 6: Final answer
    x = 298.20

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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.