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Finding the Fourth Proportional to 312.45, 470.36 and 284.19

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Solution

The fourth proportional to 312.45, 470.36 and 284.19 is: 427.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.45 : 470.36 = 284.19 : x
  2. Step 2: Convert to fraction form
    312.45/470.36 = 284.19/x
  3. Step 3: Cross multiply
    312.45x = 470.36 × 284.19
  4. Step 4: Simplify right side
    312.45x = 133,671.61
  5. Step 5: Solve for x
    x = 133,671.61/312.45
  6. Step 6: Final answer
    x = 427.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.