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Finding the Fourth Proportional to 312.75, 468.96 and 130.05

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Solution

The fourth proportional to 312.75, 468.96 and 130.05 is: 195.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.75 : 468.96 = 130.05 : x
  2. Step 2: Convert to fraction form
    312.75/468.96 = 130.05/x
  3. Step 3: Cross multiply
    312.75x = 468.96 × 130.05
  4. Step 4: Simplify right side
    312.75x = 60,988.25
  5. Step 5: Solve for x
    x = 60,988.25/312.75
  6. Step 6: Final answer
    x = 195.01

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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.