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Finding the Fourth Proportional to 152.71, 228.78 and 94.75

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Solution

The fourth proportional to 152.71, 228.78 and 94.75 is: 141.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.71 : 228.78 = 94.75 : x
  2. Step 2: Convert to fraction form
    152.71/228.78 = 94.75/x
  3. Step 3: Cross multiply
    152.71x = 228.78 × 94.75
  4. Step 4: Simplify right side
    152.71x = 21,676.91
  5. Step 5: Solve for x
    x = 21,676.91/152.71
  6. Step 6: Final answer
    x = 141.95

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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.