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Finding the Fourth Proportional to 404.99, 607.49 and 161.52

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Solution

The fourth proportional to 404.99, 607.49 and 161.52 is: 242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.99 : 607.49 = 161.52 : x
  2. Step 2: Convert to fraction form
    404.99/607.49 = 161.52/x
  3. Step 3: Cross multiply
    404.99x = 607.49 × 161.52
  4. Step 4: Simplify right side
    404.99x = 98,121.78
  5. Step 5: Solve for x
    x = 98,121.78/404.99
  6. Step 6: Final answer
    x = 242.28

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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.