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Finding the Fourth Proportional to 404.68, 606.66 and 148.12

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Solution

The fourth proportional to 404.68, 606.66 and 148.12 is: 222.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.68 : 606.66 = 148.12 : x
  2. Step 2: Convert to fraction form
    404.68/606.66 = 148.12/x
  3. Step 3: Cross multiply
    404.68x = 606.66 × 148.12
  4. Step 4: Simplify right side
    404.68x = 89,858.48
  5. Step 5: Solve for x
    x = 89,858.48/404.68
  6. Step 6: Final answer
    x = 222.05

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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.