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Finding the Fourth Proportional to 152.08, 228.18 and 94.39

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Solution

The fourth proportional to 152.08, 228.18 and 94.39 is: 141.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.08 : 228.18 = 94.39 : x
  2. Step 2: Convert to fraction form
    152.08/228.18 = 94.39/x
  3. Step 3: Cross multiply
    152.08x = 228.18 × 94.39
  4. Step 4: Simplify right side
    152.08x = 21,537.91
  5. Step 5: Solve for x
    x = 21,537.91/152.08
  6. Step 6: Final answer
    x = 141.62

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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.