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Finding the Fourth Proportional to 316.78, 474.43 and 305.83

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Solution

The fourth proportional to 316.78, 474.43 and 305.83 is: 458.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.78 : 474.43 = 305.83 : x
  2. Step 2: Convert to fraction form
    316.78/474.43 = 305.83/x
  3. Step 3: Cross multiply
    316.78x = 474.43 × 305.83
  4. Step 4: Simplify right side
    316.78x = 145,094.93
  5. Step 5: Solve for x
    x = 145,094.93/316.78
  6. Step 6: Final answer
    x = 458.03

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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.