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Finding the Fourth Proportional to 157.60, 236.36 and 149.12

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Solution

The fourth proportional to 157.60, 236.36 and 149.12 is: 223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.60 : 236.36 = 149.12 : x
  2. Step 2: Convert to fraction form
    157.60/236.36 = 149.12/x
  3. Step 3: Cross multiply
    157.60x = 236.36 × 149.12
  4. Step 4: Simplify right side
    157.60x = 35,246.00
  5. Step 5: Solve for x
    x = 35,246.00/157.60
  6. Step 6: Final answer
    x = 223.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.