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Finding the Fourth Proportional to 313.11, 469.21 and 156.76

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Solution

The fourth proportional to 313.11, 469.21 and 156.76 is: 234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.11 : 469.21 = 156.76 : x
  2. Step 2: Convert to fraction form
    313.11/469.21 = 156.76/x
  3. Step 3: Cross multiply
    313.11x = 469.21 × 156.76
  4. Step 4: Simplify right side
    313.11x = 73,553.36
  5. Step 5: Solve for x
    x = 73,553.36/313.11
  6. Step 6: Final answer
    x = 234.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.