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Finding the Fourth Proportional to 318.84, 481.16 and 307.98

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Solution

The fourth proportional to 318.84, 481.16 and 307.98 is: 464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.84 : 481.16 = 307.98 : x
  2. Step 2: Convert to fraction form
    318.84/481.16 = 307.98/x
  3. Step 3: Cross multiply
    318.84x = 481.16 × 307.98
  4. Step 4: Simplify right side
    318.84x = 148,187.66
  5. Step 5: Solve for x
    x = 148,187.66/318.84
  6. Step 6: Final answer
    x = 464.77

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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.