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Finding the Fourth Proportional to 368.78, 549.37 and 350.96

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Solution

The fourth proportional to 368.78, 549.37 and 350.96 is: 522.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.78 : 549.37 = 350.96 : x
  2. Step 2: Convert to fraction form
    368.78/549.37 = 350.96/x
  3. Step 3: Cross multiply
    368.78x = 549.37 × 350.96
  4. Step 4: Simplify right side
    368.78x = 192,803.27
  5. Step 5: Solve for x
    x = 192,803.27/368.78
  6. Step 6: Final answer
    x = 522.82

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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.