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Finding the Fourth Proportional to 314.45, 473.34 and 223.77

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Solution

The fourth proportional to 314.45, 473.34 and 223.77 is: 336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.45 : 473.34 = 223.77 : x
  2. Step 2: Convert to fraction form
    314.45/473.34 = 223.77/x
  3. Step 3: Cross multiply
    314.45x = 473.34 × 223.77
  4. Step 4: Simplify right side
    314.45x = 105,920.65
  5. Step 5: Solve for x
    x = 105,920.65/314.45
  6. Step 6: Final answer
    x = 336.85

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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.