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Finding the Fourth Proportional to 390.65, 537.92 and 338.10

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Solution

The fourth proportional to 390.65, 537.92 and 338.10 is: 465.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.65 : 537.92 = 338.10 : x
  2. Step 2: Convert to fraction form
    390.65/537.92 = 338.10/x
  3. Step 3: Cross multiply
    390.65x = 537.92 × 338.10
  4. Step 4: Simplify right side
    390.65x = 181,869.06
  5. Step 5: Solve for x
    x = 181,869.06/390.65
  6. Step 6: Final answer
    x = 465.56

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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.