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Finding the Fourth Proportional to 459.03, 688.68 and 215.73

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Solution

The fourth proportional to 459.03, 688.68 and 215.73 is: 323.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.03 : 688.68 = 215.73 : x
  2. Step 2: Convert to fraction form
    459.03/688.68 = 215.73/x
  3. Step 3: Cross multiply
    459.03x = 688.68 × 215.73
  4. Step 4: Simplify right side
    459.03x = 148,568.94
  5. Step 5: Solve for x
    x = 148,568.94/459.03
  6. Step 6: Final answer
    x = 323.66

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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.