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Finding the Fourth Proportional to 231.60, 312.90 and 231.60

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Solution

The fourth proportional to 231.60, 312.90 and 231.60 is: 312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.60 : 312.90 = 231.60 : x
  2. Step 2: Convert to fraction form
    231.60/312.90 = 231.60/x
  3. Step 3: Cross multiply
    231.60x = 312.90 × 231.60
  4. Step 4: Simplify right side
    231.60x = 72,467.64
  5. Step 5: Solve for x
    x = 72,467.64/231.60
  6. Step 6: Final answer
    x = 312.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.