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Finding the Fourth Proportional to 361.49, 538.80 and 340.99

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Solution

The fourth proportional to 361.49, 538.80 and 340.99 is: 508.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.49 : 538.80 = 340.99 : x
  2. Step 2: Convert to fraction form
    361.49/538.80 = 340.99/x
  3. Step 3: Cross multiply
    361.49x = 538.80 × 340.99
  4. Step 4: Simplify right side
    361.49x = 183,725.41
  5. Step 5: Solve for x
    x = 183,725.41/361.49
  6. Step 6: Final answer
    x = 508.24

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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.