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Finding the Fourth Proportional to 228.33, 315.27 and 150.75

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Solution

The fourth proportional to 228.33, 315.27 and 150.75 is: 208.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.33 : 315.27 = 150.75 : x
  2. Step 2: Convert to fraction form
    228.33/315.27 = 150.75/x
  3. Step 3: Cross multiply
    228.33x = 315.27 × 150.75
  4. Step 4: Simplify right side
    228.33x = 47,526.95
  5. Step 5: Solve for x
    x = 47,526.95/228.33
  6. Step 6: Final answer
    x = 208.15

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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.