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Finding the Fourth Proportional to 404.84, 559.30 and 311.96

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Solution

The fourth proportional to 404.84, 559.30 and 311.96 is: 430.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.84 : 559.30 = 311.96 : x
  2. Step 2: Convert to fraction form
    404.84/559.30 = 311.96/x
  3. Step 3: Cross multiply
    404.84x = 559.30 × 311.96
  4. Step 4: Simplify right side
    404.84x = 174,479.23
  5. Step 5: Solve for x
    x = 174,479.23/404.84
  6. Step 6: Final answer
    x = 430.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.