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Finding the Fourth Proportional to 312.00, 468.60 and 254.26

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Solution

The fourth proportional to 312.00, 468.60 and 254.26 is: 381.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.00 : 468.60 = 254.26 : x
  2. Step 2: Convert to fraction form
    312.00/468.60 = 254.26/x
  3. Step 3: Cross multiply
    312.00x = 468.60 × 254.26
  4. Step 4: Simplify right side
    312.00x = 119,146.24
  5. Step 5: Solve for x
    x = 119,146.24/312.00
  6. Step 6: Final answer
    x = 381.89

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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.