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Finding the Fourth Proportional to 436.36, 601.31 and 311.67

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Solution

The fourth proportional to 436.36, 601.31 and 311.67 is: 429.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.36 : 601.31 = 311.67 : x
  2. Step 2: Convert to fraction form
    436.36/601.31 = 311.67/x
  3. Step 3: Cross multiply
    436.36x = 601.31 × 311.67
  4. Step 4: Simplify right side
    436.36x = 187,410.29
  5. Step 5: Solve for x
    x = 187,410.29/436.36
  6. Step 6: Final answer
    x = 429.49

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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.