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Finding the Fourth Proportional to 196.64, 270.84 and 152.84

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Solution

The fourth proportional to 196.64, 270.84 and 152.84 is: 210.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.64 : 270.84 = 152.84 : x
  2. Step 2: Convert to fraction form
    196.64/270.84 = 152.84/x
  3. Step 3: Cross multiply
    196.64x = 270.84 × 152.84
  4. Step 4: Simplify right side
    196.64x = 41,395.19
  5. Step 5: Solve for x
    x = 41,395.19/196.64
  6. Step 6: Final answer
    x = 210.51

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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.