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Finding the Fourth Proportional to 461.02, 690.99 and 299.02

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Solution

The fourth proportional to 461.02, 690.99 and 299.02 is: 448.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.02 : 690.99 = 299.02 : x
  2. Step 2: Convert to fraction form
    461.02/690.99 = 299.02/x
  3. Step 3: Cross multiply
    461.02x = 690.99 × 299.02
  4. Step 4: Simplify right side
    461.02x = 206,619.83
  5. Step 5: Solve for x
    x = 206,619.83/461.02
  6. Step 6: Final answer
    x = 448.18

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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.