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Finding the Fourth Proportional to 288.92, 401.48 and 285.95

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Solution

The fourth proportional to 288.92, 401.48 and 285.95 is: 397.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.92 : 401.48 = 285.95 : x
  2. Step 2: Convert to fraction form
    288.92/401.48 = 285.95/x
  3. Step 3: Cross multiply
    288.92x = 401.48 × 285.95
  4. Step 4: Simplify right side
    288.92x = 114,799.77
  5. Step 5: Solve for x
    x = 114,799.77/288.92
  6. Step 6: Final answer
    x = 397.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.