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Finding the Fourth Proportional to 313.50, 470.28 and 151.32

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Solution

The fourth proportional to 313.50, 470.28 and 151.32 is: 226.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.50 : 470.28 = 151.32 : x
  2. Step 2: Convert to fraction form
    313.50/470.28 = 151.32/x
  3. Step 3: Cross multiply
    313.50x = 470.28 × 151.32
  4. Step 4: Simplify right side
    313.50x = 71,162.77
  5. Step 5: Solve for x
    x = 71,162.77/313.50
  6. Step 6: Final answer
    x = 226.99

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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.