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Finding the Fourth Proportional to 370.36, 509.47 and 355.38

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Solution

The fourth proportional to 370.36, 509.47 and 355.38 is: 488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.36 : 509.47 = 355.38 : x
  2. Step 2: Convert to fraction form
    370.36/509.47 = 355.38/x
  3. Step 3: Cross multiply
    370.36x = 509.47 × 355.38
  4. Step 4: Simplify right side
    370.36x = 181,052.65
  5. Step 5: Solve for x
    x = 181,052.65/370.36
  6. Step 6: Final answer
    x = 488.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.