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Finding the Fourth Proportional to 385.84, 578.74 and 154.67

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Solution

The fourth proportional to 385.84, 578.74 and 154.67 is: 231.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.84 : 578.74 = 154.67 : x
  2. Step 2: Convert to fraction form
    385.84/578.74 = 154.67/x
  3. Step 3: Cross multiply
    385.84x = 578.74 × 154.67
  4. Step 4: Simplify right side
    385.84x = 89,512.27
  5. Step 5: Solve for x
    x = 89,512.27/385.84
  6. Step 6: Final answer
    x = 231.99

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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.