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Finding the Fourth Proportional to 385.48, 578.19 and 154.46

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Solution

The fourth proportional to 385.48, 578.19 and 154.46 is: 231.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.48 : 578.19 = 154.46 : x
  2. Step 2: Convert to fraction form
    385.48/578.19 = 154.46/x
  3. Step 3: Cross multiply
    385.48x = 578.19 × 154.46
  4. Step 4: Simplify right side
    385.48x = 89,307.23
  5. Step 5: Solve for x
    x = 89,307.23/385.48
  6. Step 6: Final answer
    x = 231.68

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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.