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Finding the Fourth Proportional to 153.56, 210.63 and 149.91

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Solution

The fourth proportional to 153.56, 210.63 and 149.91 is: 205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.56 : 210.63 = 149.91 : x
  2. Step 2: Convert to fraction form
    153.56/210.63 = 149.91/x
  3. Step 3: Cross multiply
    153.56x = 210.63 × 149.91
  4. Step 4: Simplify right side
    153.56x = 31,575.54
  5. Step 5: Solve for x
    x = 31,575.54/153.56
  6. Step 6: Final answer
    x = 205.63

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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.