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Finding the Fourth Proportional to 150.09, 206.98 and 103.47

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Solution

The fourth proportional to 150.09, 206.98 and 103.47 is: 142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.09 : 206.98 = 103.47 : x
  2. Step 2: Convert to fraction form
    150.09/206.98 = 103.47/x
  3. Step 3: Cross multiply
    150.09x = 206.98 × 103.47
  4. Step 4: Simplify right side
    150.09x = 21,416.22
  5. Step 5: Solve for x
    x = 21,416.22/150.09
  6. Step 6: Final answer
    x = 142.69

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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.