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Finding the Fourth Proportional to 321.56, 482.12 and 289.16

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Solution

The fourth proportional to 321.56, 482.12 and 289.16 is: 433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.56 : 482.12 = 289.16 : x
  2. Step 2: Convert to fraction form
    321.56/482.12 = 289.16/x
  3. Step 3: Cross multiply
    321.56x = 482.12 × 289.16
  4. Step 4: Simplify right side
    321.56x = 139,409.82
  5. Step 5: Solve for x
    x = 139,409.82/321.56
  6. Step 6: Final answer
    x = 433.54

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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.