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Finding the Fourth Proportional to 321.94, 482.76 and 257.14

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Solution

The fourth proportional to 321.94, 482.76 and 257.14 is: 385.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.94 : 482.76 = 257.14 : x
  2. Step 2: Convert to fraction form
    321.94/482.76 = 257.14/x
  3. Step 3: Cross multiply
    321.94x = 482.76 × 257.14
  4. Step 4: Simplify right side
    321.94x = 124,137.51
  5. Step 5: Solve for x
    x = 124,137.51/321.94
  6. Step 6: Final answer
    x = 385.59

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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.