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Finding the Fourth Proportional to 385.47, 575.16 and 367.45

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Solution

The fourth proportional to 385.47, 575.16 and 367.45 is: 548.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.47 : 575.16 = 367.45 : x
  2. Step 2: Convert to fraction form
    385.47/575.16 = 367.45/x
  3. Step 3: Cross multiply
    385.47x = 575.16 × 367.45
  4. Step 4: Simplify right side
    385.47x = 211,339.73
  5. Step 5: Solve for x
    x = 211,339.73/385.47
  6. Step 6: Final answer
    x = 548.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.