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Finding the Fourth Proportional to 312.34, 430.50 and 246.70

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Solution

The fourth proportional to 312.34, 430.50 and 246.70 is: 340.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.34 : 430.50 = 246.70 : x
  2. Step 2: Convert to fraction form
    312.34/430.50 = 246.70/x
  3. Step 3: Cross multiply
    312.34x = 430.50 × 246.70
  4. Step 4: Simplify right side
    312.34x = 106,204.35
  5. Step 5: Solve for x
    x = 106,204.35/312.34
  6. Step 6: Final answer
    x = 340.03

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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.