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Finding the Fourth Proportional to 278.57, 384.56 and 216.24

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Solution

The fourth proportional to 278.57, 384.56 and 216.24 is: 298.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.57 : 384.56 = 216.24 : x
  2. Step 2: Convert to fraction form
    278.57/384.56 = 216.24/x
  3. Step 3: Cross multiply
    278.57x = 384.56 × 216.24
  4. Step 4: Simplify right side
    278.57x = 83,156.17
  5. Step 5: Solve for x
    x = 83,156.17/278.57
  6. Step 6: Final answer
    x = 298.52

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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.