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Finding the Fourth Proportional to 288.96, 396.30 and 284.88

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Solution

The fourth proportional to 288.96, 396.30 and 284.88 is: 390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.96 : 396.30 = 284.88 : x
  2. Step 2: Convert to fraction form
    288.96/396.30 = 284.88/x
  3. Step 3: Cross multiply
    288.96x = 396.30 × 284.88
  4. Step 4: Simplify right side
    288.96x = 112,897.94
  5. Step 5: Solve for x
    x = 112,897.94/288.96
  6. Step 6: Final answer
    x = 390.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.