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Finding the Fourth Proportional to 312.60, 428.01 and 312.60

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Solution

The fourth proportional to 312.60, 428.01 and 312.60 is: 428.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.60 : 428.01 = 312.60 : x
  2. Step 2: Convert to fraction form
    312.60/428.01 = 312.60/x
  3. Step 3: Cross multiply
    312.60x = 428.01 × 312.60
  4. Step 4: Simplify right side
    312.60x = 133,795.93
  5. Step 5: Solve for x
    x = 133,795.93/312.60
  6. Step 6: Final answer
    x = 428.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.