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Finding the Fourth Proportional to 312.59, 469.15 and 150.31

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Solution

The fourth proportional to 312.59, 469.15 and 150.31 is: 225.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.59 : 469.15 = 150.31 : x
  2. Step 2: Convert to fraction form
    312.59/469.15 = 150.31/x
  3. Step 3: Cross multiply
    312.59x = 469.15 × 150.31
  4. Step 4: Simplify right side
    312.59x = 70,516.39
  5. Step 5: Solve for x
    x = 70,516.39/312.59
  6. Step 6: Final answer
    x = 225.59

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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.