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Finding the Fourth Proportional to 149.40, 206.26 and 99.62

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Solution

The fourth proportional to 149.40, 206.26 and 99.62 is: 137.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.40 : 206.26 = 99.62 : x
  2. Step 2: Convert to fraction form
    149.40/206.26 = 99.62/x
  3. Step 3: Cross multiply
    149.40x = 206.26 × 99.62
  4. Step 4: Simplify right side
    149.40x = 20,547.62
  5. Step 5: Solve for x
    x = 20,547.62/149.40
  6. Step 6: Final answer
    x = 137.53

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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.