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Finding the Fourth Proportional to 390.58, 585.96 and 257.14

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Solution

The fourth proportional to 390.58, 585.96 and 257.14 is: 385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.58 : 585.96 = 257.14 : x
  2. Step 2: Convert to fraction form
    390.58/585.96 = 257.14/x
  3. Step 3: Cross multiply
    390.58x = 585.96 × 257.14
  4. Step 4: Simplify right side
    390.58x = 150,673.75
  5. Step 5: Solve for x
    x = 150,673.75/390.58
  6. Step 6: Final answer
    x = 385.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.