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Finding the Fourth Proportional to 312.45, 430.70 and 246.84

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Solution

The fourth proportional to 312.45, 430.70 and 246.84 is: 340.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.45 : 430.70 = 246.84 : x
  2. Step 2: Convert to fraction form
    312.45/430.70 = 246.84/x
  3. Step 3: Cross multiply
    312.45x = 430.70 × 246.84
  4. Step 4: Simplify right side
    312.45x = 106,312.75
  5. Step 5: Solve for x
    x = 106,312.75/312.45
  6. Step 6: Final answer
    x = 340.26

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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.