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Finding the Fourth Proportional to 228.16, 342.14 and 91.22

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Solution

The fourth proportional to 228.16, 342.14 and 91.22 is: 136.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.16 : 342.14 = 91.22 : x
  2. Step 2: Convert to fraction form
    228.16/342.14 = 91.22/x
  3. Step 3: Cross multiply
    228.16x = 342.14 × 91.22
  4. Step 4: Simplify right side
    228.16x = 31,210.01
  5. Step 5: Solve for x
    x = 31,210.01/228.16
  6. Step 6: Final answer
    x = 136.79

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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.