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Finding the Fourth Proportional to 328.94, 493.96 and 257.30

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Solution

The fourth proportional to 328.94, 493.96 and 257.30 is: 386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.94 : 493.96 = 257.30 : x
  2. Step 2: Convert to fraction form
    328.94/493.96 = 257.30/x
  3. Step 3: Cross multiply
    328.94x = 493.96 × 257.30
  4. Step 4: Simplify right side
    328.94x = 127,095.91
  5. Step 5: Solve for x
    x = 127,095.91/328.94
  6. Step 6: Final answer
    x = 386.38

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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.