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Finding the Fourth Proportional to 390.63, 538.31 and 352.88

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Solution

The fourth proportional to 390.63, 538.31 and 352.88 is: 486.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.63 : 538.31 = 352.88 : x
  2. Step 2: Convert to fraction form
    390.63/538.31 = 352.88/x
  3. Step 3: Cross multiply
    390.63x = 538.31 × 352.88
  4. Step 4: Simplify right side
    390.63x = 189,958.83
  5. Step 5: Solve for x
    x = 189,958.83/390.63
  6. Step 6: Final answer
    x = 486.29

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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.