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Finding the Fourth Proportional to 288.46, 397.86 and 278.92

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Solution

The fourth proportional to 288.46, 397.86 and 278.92 is: 384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.46 : 397.86 = 278.92 : x
  2. Step 2: Convert to fraction form
    288.46/397.86 = 278.92/x
  3. Step 3: Cross multiply
    288.46x = 397.86 × 278.92
  4. Step 4: Simplify right side
    288.46x = 110,971.11
  5. Step 5: Solve for x
    x = 110,971.11/288.46
  6. Step 6: Final answer
    x = 384.70

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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.