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Finding the Fourth Proportional to 200.30, 299.21 and 148.66

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Solution

The fourth proportional to 200.30, 299.21 and 148.66 is: 222.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.30 : 299.21 = 148.66 : x
  2. Step 2: Convert to fraction form
    200.30/299.21 = 148.66/x
  3. Step 3: Cross multiply
    200.30x = 299.21 × 148.66
  4. Step 4: Simplify right side
    200.30x = 44,479.07
  5. Step 5: Solve for x
    x = 44,479.07/200.30
  6. Step 6: Final answer
    x = 222.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.