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Finding the Fourth Proportional to 312.83, 468.39 and 284.00

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Solution

The fourth proportional to 312.83, 468.39 and 284.00 is: 425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.83 : 468.39 = 284.00 : x
  2. Step 2: Convert to fraction form
    312.83/468.39 = 284.00/x
  3. Step 3: Cross multiply
    312.83x = 468.39 × 284.00
  4. Step 4: Simplify right side
    312.83x = 133,022.87
  5. Step 5: Solve for x
    x = 133,022.87/312.83
  6. Step 6: Final answer
    x = 425.22

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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.