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Finding the Fourth Proportional to 228.59, 315.50 and 141.34

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Solution

The fourth proportional to 228.59, 315.50 and 141.34 is: 195.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.59 : 315.50 = 141.34 : x
  2. Step 2: Convert to fraction form
    228.59/315.50 = 141.34/x
  3. Step 3: Cross multiply
    228.59x = 315.50 × 141.34
  4. Step 4: Simplify right side
    228.59x = 44,592.77
  5. Step 5: Solve for x
    x = 44,592.77/228.59
  6. Step 6: Final answer
    x = 195.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.