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Finding the Fourth Proportional to 361.47, 538.51 and 344.06

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Solution

The fourth proportional to 361.47, 538.51 and 344.06 is: 512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.47 : 538.51 = 344.06 : x
  2. Step 2: Convert to fraction form
    361.47/538.51 = 344.06/x
  3. Step 3: Cross multiply
    361.47x = 538.51 × 344.06
  4. Step 4: Simplify right side
    361.47x = 185,276.20
  5. Step 5: Solve for x
    x = 185,276.20/361.47
  6. Step 6: Final answer
    x = 512.56

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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.