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Finding the Fourth Proportional to 361.17, 538.43 and 340.47

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Solution

The fourth proportional to 361.17, 538.43 and 340.47 is: 507.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.17 : 538.43 = 340.47 : x
  2. Step 2: Convert to fraction form
    361.17/538.43 = 340.47/x
  3. Step 3: Cross multiply
    361.17x = 538.43 × 340.47
  4. Step 4: Simplify right side
    361.17x = 183,317.56
  5. Step 5: Solve for x
    x = 183,317.56/361.17
  6. Step 6: Final answer
    x = 507.57

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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.