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Finding the Fourth Proportional to 340.12, 507.64 and 331.92

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Solution

The fourth proportional to 340.12, 507.64 and 331.92 is: 495.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.12 : 507.64 = 331.92 : x
  2. Step 2: Convert to fraction form
    340.12/507.64 = 331.92/x
  3. Step 3: Cross multiply
    340.12x = 507.64 × 331.92
  4. Step 4: Simplify right side
    340.12x = 168,495.87
  5. Step 5: Solve for x
    x = 168,495.87/340.12
  6. Step 6: Final answer
    x = 495.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.