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Finding the Fourth Proportional to 364.28, 542.91 and 361.26

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Solution

The fourth proportional to 364.28, 542.91 and 361.26 is: 538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.28 : 542.91 = 361.26 : x
  2. Step 2: Convert to fraction form
    364.28/542.91 = 361.26/x
  3. Step 3: Cross multiply
    364.28x = 542.91 × 361.26
  4. Step 4: Simplify right side
    364.28x = 196,131.67
  5. Step 5: Solve for x
    x = 196,131.67/364.28
  6. Step 6: Final answer
    x = 538.41

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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.