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Finding the Fourth Proportional to 228.91, 342.96 and 157.09

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Solution

The fourth proportional to 228.91, 342.96 and 157.09 is: 235.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.91 : 342.96 = 157.09 : x
  2. Step 2: Convert to fraction form
    228.91/342.96 = 157.09/x
  3. Step 3: Cross multiply
    228.91x = 342.96 × 157.09
  4. Step 4: Simplify right side
    228.91x = 53,875.59
  5. Step 5: Solve for x
    x = 53,875.59/228.91
  6. Step 6: Final answer
    x = 235.36

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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.