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Finding the Fourth Proportional to 371.40, 509.78 and 355.56

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Solution

The fourth proportional to 371.40, 509.78 and 355.56 is: 488.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.40 : 509.78 = 355.56 : x
  2. Step 2: Convert to fraction form
    371.40/509.78 = 355.56/x
  3. Step 3: Cross multiply
    371.40x = 509.78 × 355.56
  4. Step 4: Simplify right side
    371.40x = 181,257.38
  5. Step 5: Solve for x
    x = 181,257.38/371.40
  6. Step 6: Final answer
    x = 488.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.