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Finding the Fourth Proportional to 278.27, 384.24 and 277.66

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Solution

The fourth proportional to 278.27, 384.24 and 277.66 is: 383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.27 : 384.24 = 277.66 : x
  2. Step 2: Convert to fraction form
    278.27/384.24 = 277.66/x
  3. Step 3: Cross multiply
    278.27x = 384.24 × 277.66
  4. Step 4: Simplify right side
    278.27x = 106,688.08
  5. Step 5: Solve for x
    x = 106,688.08/278.27
  6. Step 6: Final answer
    x = 383.40

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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.