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Finding the Fourth Proportional to 312.81, 469.41 and 284.19

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Solution

The fourth proportional to 312.81, 469.41 and 284.19 is: 426.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.81 : 469.41 = 284.19 : x
  2. Step 2: Convert to fraction form
    312.81/469.41 = 284.19/x
  3. Step 3: Cross multiply
    312.81x = 469.41 × 284.19
  4. Step 4: Simplify right side
    312.81x = 133,401.63
  5. Step 5: Solve for x
    x = 133,401.63/312.81
  6. Step 6: Final answer
    x = 426.46

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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.