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Finding the Fourth Proportional to 459.98, 689.51 and 213.44

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Solution

The fourth proportional to 459.98, 689.51 and 213.44 is: 319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.98 : 689.51 = 213.44 : x
  2. Step 2: Convert to fraction form
    459.98/689.51 = 213.44/x
  3. Step 3: Cross multiply
    459.98x = 689.51 × 213.44
  4. Step 4: Simplify right side
    459.98x = 147,166.10
  5. Step 5: Solve for x
    x = 147,166.10/459.98
  6. Step 6: Final answer
    x = 319.94

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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.