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Finding the Fourth Proportional to 340.49, 513.24 and 320.67

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Solution

The fourth proportional to 340.49, 513.24 and 320.67 is: 483.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.49 : 513.24 = 320.67 : x
  2. Step 2: Convert to fraction form
    340.49/513.24 = 320.67/x
  3. Step 3: Cross multiply
    340.49x = 513.24 × 320.67
  4. Step 4: Simplify right side
    340.49x = 164,580.67
  5. Step 5: Solve for x
    x = 164,580.67/340.49
  6. Step 6: Final answer
    x = 483.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.