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Finding the Fourth Proportional to 340.50, 507.91 and 334.92

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Solution

The fourth proportional to 340.50, 507.91 and 334.92 is: 499.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.50 : 507.91 = 334.92 : x
  2. Step 2: Convert to fraction form
    340.50/507.91 = 334.92/x
  3. Step 3: Cross multiply
    340.50x = 507.91 × 334.92
  4. Step 4: Simplify right side
    340.50x = 170,109.22
  5. Step 5: Solve for x
    x = 170,109.22/340.50
  6. Step 6: Final answer
    x = 499.59

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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.