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Finding the Fourth Proportional to 313.70, 470.65 and 159.50

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Solution

The fourth proportional to 313.70, 470.65 and 159.50 is: 239.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.70 : 470.65 = 159.50 : x
  2. Step 2: Convert to fraction form
    313.70/470.65 = 159.50/x
  3. Step 3: Cross multiply
    313.70x = 470.65 × 159.50
  4. Step 4: Simplify right side
    313.70x = 75,068.68
  5. Step 5: Solve for x
    x = 75,068.68/313.70
  6. Step 6: Final answer
    x = 239.30

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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.