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Finding the Fourth Proportional to 313.04, 469.28 and 150.56

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Solution

The fourth proportional to 313.04, 469.28 and 150.56 is: 225.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.04 : 469.28 = 150.56 : x
  2. Step 2: Convert to fraction form
    313.04/469.28 = 150.56/x
  3. Step 3: Cross multiply
    313.04x = 469.28 × 150.56
  4. Step 4: Simplify right side
    313.04x = 70,654.80
  5. Step 5: Solve for x
    x = 70,654.80/313.04
  6. Step 6: Final answer
    x = 225.71

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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.