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Finding the Fourth Proportional to 389.40, 536.22 and 368.04

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Solution

The fourth proportional to 389.40, 536.22 and 368.04 is: 506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.40 : 536.22 = 368.04 : x
  2. Step 2: Convert to fraction form
    389.40/536.22 = 368.04/x
  3. Step 3: Cross multiply
    389.40x = 536.22 × 368.04
  4. Step 4: Simplify right side
    389.40x = 197,350.41
  5. Step 5: Solve for x
    x = 197,350.41/389.40
  6. Step 6: Final answer
    x = 506.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.