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Finding the Fourth Proportional to 390.19, 540.93 and 369.38

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Solution

The fourth proportional to 390.19, 540.93 and 369.38 is: 512.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.19 : 540.93 = 369.38 : x
  2. Step 2: Convert to fraction form
    390.19/540.93 = 369.38/x
  3. Step 3: Cross multiply
    390.19x = 540.93 × 369.38
  4. Step 4: Simplify right side
    390.19x = 199,809.15
  5. Step 5: Solve for x
    x = 199,809.15/390.19
  6. Step 6: Final answer
    x = 512.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.