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Finding the Fourth Proportional to 666.36, 997.70 and 340.12

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Solution

The fourth proportional to 666.36, 997.70 and 340.12 is: 509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.36 : 997.70 = 340.12 : x
  2. Step 2: Convert to fraction form
    666.36/997.70 = 340.12/x
  3. Step 3: Cross multiply
    666.36x = 997.70 × 340.12
  4. Step 4: Simplify right side
    666.36x = 339,337.72
  5. Step 5: Solve for x
    x = 339,337.72/666.36
  6. Step 6: Final answer
    x = 509.24

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Double scale
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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.