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Finding the Fourth Proportional to 316.85, 478.14 and 305.98

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Solution

The fourth proportional to 316.85, 478.14 and 305.98 is: 461.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.85 : 478.14 = 305.98 : x
  2. Step 2: Convert to fraction form
    316.85/478.14 = 305.98/x
  3. Step 3: Cross multiply
    316.85x = 478.14 × 305.98
  4. Step 4: Simplify right side
    316.85x = 146,298.93
  5. Step 5: Solve for x
    x = 146,298.93/316.85
  6. Step 6: Final answer
    x = 461.74

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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.