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Finding the Fourth Proportional to 288.91, 435.94 and 277.66

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Solution

The fourth proportional to 288.91, 435.94 and 277.66 is: 418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.91 : 435.94 = 277.66 : x
  2. Step 2: Convert to fraction form
    288.91/435.94 = 277.66/x
  3. Step 3: Cross multiply
    288.91x = 435.94 × 277.66
  4. Step 4: Simplify right side
    288.91x = 121,043.10
  5. Step 5: Solve for x
    x = 121,043.10/288.91
  6. Step 6: Final answer
    x = 418.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.