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Finding the Fourth Proportional to 356.08, 492.04 and 257.68

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Solution

The fourth proportional to 356.08, 492.04 and 257.68 is: 356.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.08 : 492.04 = 257.68 : x
  2. Step 2: Convert to fraction form
    356.08/492.04 = 257.68/x
  3. Step 3: Cross multiply
    356.08x = 492.04 × 257.68
  4. Step 4: Simplify right side
    356.08x = 126,788.87
  5. Step 5: Solve for x
    x = 126,788.87/356.08
  6. Step 6: Final answer
    x = 356.07

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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.