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Finding the Fourth Proportional to 404.51, 606.63 and 157.69

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Solution

The fourth proportional to 404.51, 606.63 and 157.69 is: 236.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.51 : 606.63 = 157.69 : x
  2. Step 2: Convert to fraction form
    404.51/606.63 = 157.69/x
  3. Step 3: Cross multiply
    404.51x = 606.63 × 157.69
  4. Step 4: Simplify right side
    404.51x = 95,656.45
  5. Step 5: Solve for x
    x = 95,656.45/404.51
  6. Step 6: Final answer
    x = 236.47

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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.