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Finding the Fourth Proportional to 390.24, 537.78 and 364.29

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Solution

The fourth proportional to 390.24, 537.78 and 364.29 is: 502.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.24 : 537.78 = 364.29 : x
  2. Step 2: Convert to fraction form
    390.24/537.78 = 364.29/x
  3. Step 3: Cross multiply
    390.24x = 537.78 × 364.29
  4. Step 4: Simplify right side
    390.24x = 195,907.88
  5. Step 5: Solve for x
    x = 195,907.88/390.24
  6. Step 6: Final answer
    x = 502.02

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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.