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Finding the Fourth Proportional to 321.24, 482.10 and 257.88

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Solution

The fourth proportional to 321.24, 482.10 and 257.88 is: 387.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.24 : 482.10 = 257.88 : x
  2. Step 2: Convert to fraction form
    321.24/482.10 = 257.88/x
  3. Step 3: Cross multiply
    321.24x = 482.10 × 257.88
  4. Step 4: Simplify right side
    321.24x = 124,323.95
  5. Step 5: Solve for x
    x = 124,323.95/321.24
  6. Step 6: Final answer
    x = 387.01

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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.