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Finding the Fourth Proportional to 149.33, 206.04 and 90.30

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Solution

The fourth proportional to 149.33, 206.04 and 90.30 is: 124.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.33 : 206.04 = 90.30 : x
  2. Step 2: Convert to fraction form
    149.33/206.04 = 90.30/x
  3. Step 3: Cross multiply
    149.33x = 206.04 × 90.30
  4. Step 4: Simplify right side
    149.33x = 18,605.41
  5. Step 5: Solve for x
    x = 18,605.41/149.33
  6. Step 6: Final answer
    x = 124.60

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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.