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Finding the Fourth Proportional to 436.17, 601.49 and 288.85

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Solution

The fourth proportional to 436.17, 601.49 and 288.85 is: 398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.17 : 601.49 = 288.85 : x
  2. Step 2: Convert to fraction form
    436.17/601.49 = 288.85/x
  3. Step 3: Cross multiply
    436.17x = 601.49 × 288.85
  4. Step 4: Simplify right side
    436.17x = 173,740.39
  5. Step 5: Solve for x
    x = 173,740.39/436.17
  6. Step 6: Final answer
    x = 398.33

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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.