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Finding the Fourth Proportional to 361.04, 538.50 and 302.58

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Solution

The fourth proportional to 361.04, 538.50 and 302.58 is: 451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.04 : 538.50 = 302.58 : x
  2. Step 2: Convert to fraction form
    361.04/538.50 = 302.58/x
  3. Step 3: Cross multiply
    361.04x = 538.50 × 302.58
  4. Step 4: Simplify right side
    361.04x = 162,939.33
  5. Step 5: Solve for x
    x = 162,939.33/361.04
  6. Step 6: Final answer
    x = 451.31

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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.