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Finding the Fourth Proportional to 499.99, 690.29 and 334.18

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Solution

The fourth proportional to 499.99, 690.29 and 334.18 is: 461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.99 : 690.29 = 334.18 : x
  2. Step 2: Convert to fraction form
    499.99/690.29 = 334.18/x
  3. Step 3: Cross multiply
    499.99x = 690.29 × 334.18
  4. Step 4: Simplify right side
    499.99x = 230,681.11
  5. Step 5: Solve for x
    x = 230,681.11/499.99
  6. Step 6: Final answer
    x = 461.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.