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Finding the Fourth Proportional to 310.10, 465.24 and 115.19

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Solution

The fourth proportional to 310.10, 465.24 and 115.19 is: 172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.10 : 465.24 = 115.19 : x
  2. Step 2: Convert to fraction form
    310.10/465.24 = 115.19/x
  3. Step 3: Cross multiply
    310.10x = 465.24 × 115.19
  4. Step 4: Simplify right side
    310.10x = 53,591.00
  5. Step 5: Solve for x
    x = 53,591.00/310.10
  6. Step 6: Final answer
    x = 172.82

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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.