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Finding the Fourth Proportional to 385.37, 578.05 and 111.46

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Solution

The fourth proportional to 385.37, 578.05 and 111.46 is: 167.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.37 : 578.05 = 111.46 : x
  2. Step 2: Convert to fraction form
    385.37/578.05 = 111.46/x
  3. Step 3: Cross multiply
    385.37x = 578.05 × 111.46
  4. Step 4: Simplify right side
    385.37x = 64,429.45
  5. Step 5: Solve for x
    x = 64,429.45/385.37
  6. Step 6: Final answer
    x = 167.19

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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.