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Finding the Fourth Proportional to 236.77, 355.29 and 113.40

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Solution

The fourth proportional to 236.77, 355.29 and 113.40 is: 170.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.77 : 355.29 = 113.40 : x
  2. Step 2: Convert to fraction form
    236.77/355.29 = 113.40/x
  3. Step 3: Cross multiply
    236.77x = 355.29 × 113.40
  4. Step 4: Simplify right side
    236.77x = 40,289.46
  5. Step 5: Solve for x
    x = 40,289.46/236.77
  6. Step 6: Final answer
    x = 170.16

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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.