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Finding the Fourth Proportional to 157.20, 236.84 and 135.60

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Solution

The fourth proportional to 157.20, 236.84 and 135.60 is: 204.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.20 : 236.84 = 135.60 : x
  2. Step 2: Convert to fraction form
    157.20/236.84 = 135.60/x
  3. Step 3: Cross multiply
    157.20x = 236.84 × 135.60
  4. Step 4: Simplify right side
    157.20x = 32,115.50
  5. Step 5: Solve for x
    x = 32,115.50/157.20
  6. Step 6: Final answer
    x = 204.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.