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Finding the Fourth Proportional to 312.78, 468.86 and 130.30

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Solution

The fourth proportional to 312.78, 468.86 and 130.30 is: 195.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.78 : 468.86 = 130.30 : x
  2. Step 2: Convert to fraction form
    312.78/468.86 = 130.30/x
  3. Step 3: Cross multiply
    312.78x = 468.86 × 130.30
  4. Step 4: Simplify right side
    312.78x = 61,092.46
  5. Step 5: Solve for x
    x = 61,092.46/312.78
  6. Step 6: Final answer
    x = 195.32

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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.