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Finding the Fourth Proportional to 278.63, 384.15 and 228.77

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Solution

The fourth proportional to 278.63, 384.15 and 228.77 is: 315.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.63 : 384.15 = 228.77 : x
  2. Step 2: Convert to fraction form
    278.63/384.15 = 228.77/x
  3. Step 3: Cross multiply
    278.63x = 384.15 × 228.77
  4. Step 4: Simplify right side
    278.63x = 87,880.07
  5. Step 5: Solve for x
    x = 87,880.07/278.63
  6. Step 6: Final answer
    x = 315.41

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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.