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Finding the Fourth Proportional to 314.33, 473.84 and 309.61

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Solution

The fourth proportional to 314.33, 473.84 and 309.61 is: 466.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.33 : 473.84 = 309.61 : x
  2. Step 2: Convert to fraction form
    314.33/473.84 = 309.61/x
  3. Step 3: Cross multiply
    314.33x = 473.84 × 309.61
  4. Step 4: Simplify right side
    314.33x = 146,705.19
  5. Step 5: Solve for x
    x = 146,705.19/314.33
  6. Step 6: Final answer
    x = 466.72

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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.