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Finding the Fourth Proportional to 321.76, 482.64 and 257.50

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Solution

The fourth proportional to 321.76, 482.64 and 257.50 is: 386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.76 : 482.64 = 257.50 : x
  2. Step 2: Convert to fraction form
    321.76/482.64 = 257.50/x
  3. Step 3: Cross multiply
    321.76x = 482.64 × 257.50
  4. Step 4: Simplify right side
    321.76x = 124,279.80
  5. Step 5: Solve for x
    x = 124,279.80/321.76
  6. Step 6: Final answer
    x = 386.25

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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.