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Finding the Fourth Proportional to 228.81, 344.48 and 157.14

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Solution

The fourth proportional to 228.81, 344.48 and 157.14 is: 236.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.81 : 344.48 = 157.14 : x
  2. Step 2: Convert to fraction form
    228.81/344.48 = 157.14/x
  3. Step 3: Cross multiply
    228.81x = 344.48 × 157.14
  4. Step 4: Simplify right side
    228.81x = 54,131.98
  5. Step 5: Solve for x
    x = 54,131.98/228.81
  6. Step 6: Final answer
    x = 236.58

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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.