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Finding the Fourth Proportional to 390.95, 538.41 and 335.67

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Solution

The fourth proportional to 390.95, 538.41 and 335.67 is: 462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.95 : 538.41 = 335.67 : x
  2. Step 2: Convert to fraction form
    390.95/538.41 = 335.67/x
  3. Step 3: Cross multiply
    390.95x = 538.41 × 335.67
  4. Step 4: Simplify right side
    390.95x = 180,728.08
  5. Step 5: Solve for x
    x = 180,728.08/390.95
  6. Step 6: Final answer
    x = 462.28

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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.