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Finding the Fourth Proportional to 312.97, 469.27 and 130.14

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Solution

The fourth proportional to 312.97, 469.27 and 130.14 is: 195.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.97 : 469.27 = 130.14 : x
  2. Step 2: Convert to fraction form
    312.97/469.27 = 130.14/x
  3. Step 3: Cross multiply
    312.97x = 469.27 × 130.14
  4. Step 4: Simplify right side
    312.97x = 61,070.15
  5. Step 5: Solve for x
    x = 61,070.15/312.97
  6. Step 6: Final answer
    x = 195.13

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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.