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Finding the Fourth Proportional to 427.86, 644.01 and 365.22

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Solution

The fourth proportional to 427.86, 644.01 and 365.22 is: 549.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.86 : 644.01 = 365.22 : x
  2. Step 2: Convert to fraction form
    427.86/644.01 = 365.22/x
  3. Step 3: Cross multiply
    427.86x = 644.01 × 365.22
  4. Step 4: Simplify right side
    427.86x = 235,205.33
  5. Step 5: Solve for x
    x = 235,205.33/427.86
  6. Step 6: Final answer
    x = 549.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.