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Finding the Fourth Proportional to 157.40, 236.10 and 76.12

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Solution

The fourth proportional to 157.40, 236.10 and 76.12 is: 114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.40 : 236.10 = 76.12 : x
  2. Step 2: Convert to fraction form
    157.40/236.10 = 76.12/x
  3. Step 3: Cross multiply
    157.40x = 236.10 × 76.12
  4. Step 4: Simplify right side
    157.40x = 17,971.93
  5. Step 5: Solve for x
    x = 17,971.93/157.40
  6. Step 6: Final answer
    x = 114.18

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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.