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Finding the Fourth Proportional to 322.08, 482.88 and 289.50

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Solution

The fourth proportional to 322.08, 482.88 and 289.50 is: 434.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.08 : 482.88 = 289.50 : x
  2. Step 2: Convert to fraction form
    322.08/482.88 = 289.50/x
  3. Step 3: Cross multiply
    322.08x = 482.88 × 289.50
  4. Step 4: Simplify right side
    322.08x = 139,793.76
  5. Step 5: Solve for x
    x = 139,793.76/322.08
  6. Step 6: Final answer
    x = 434.03

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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.