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Finding the Fourth Proportional to 370.19, 509.81 and 369.08

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Solution

The fourth proportional to 370.19, 509.81 and 369.08 is: 508.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.19 : 509.81 = 369.08 : x
  2. Step 2: Convert to fraction form
    370.19/509.81 = 369.08/x
  3. Step 3: Cross multiply
    370.19x = 509.81 × 369.08
  4. Step 4: Simplify right side
    370.19x = 188,156.28
  5. Step 5: Solve for x
    x = 188,156.28/370.19
  6. Step 6: Final answer
    x = 508.28

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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.