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Finding the Fourth Proportional to 153.10, 210.06 and 149.21

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Solution

The fourth proportional to 153.10, 210.06 and 149.21 is: 204.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.10 : 210.06 = 149.21 : x
  2. Step 2: Convert to fraction form
    153.10/210.06 = 149.21/x
  3. Step 3: Cross multiply
    153.10x = 210.06 × 149.21
  4. Step 4: Simplify right side
    153.10x = 31,343.55
  5. Step 5: Solve for x
    x = 31,343.55/153.10
  6. Step 6: Final answer
    x = 204.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.