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Finding the Fourth Proportional to 153.74, 210.77 and 143.07

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Solution

The fourth proportional to 153.74, 210.77 and 143.07 is: 196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.74 : 210.77 = 143.07 : x
  2. Step 2: Convert to fraction form
    153.74/210.77 = 143.07/x
  3. Step 3: Cross multiply
    153.74x = 210.77 × 143.07
  4. Step 4: Simplify right side
    153.74x = 30,154.15
  5. Step 5: Solve for x
    x = 30,154.15/153.74
  6. Step 6: Final answer
    x = 196.14

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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.