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Finding the Fourth Proportional to 385.74, 578.34 and 231.84

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Solution

The fourth proportional to 385.74, 578.34 and 231.84 is: 347.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.74 : 578.34 = 231.84 : x
  2. Step 2: Convert to fraction form
    385.74/578.34 = 231.84/x
  3. Step 3: Cross multiply
    385.74x = 578.34 × 231.84
  4. Step 4: Simplify right side
    385.74x = 134,082.35
  5. Step 5: Solve for x
    x = 134,082.35/385.74
  6. Step 6: Final answer
    x = 347.60

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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.