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Finding the Fourth Proportional to 318.93, 476.05 and 318.12

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Solution

The fourth proportional to 318.93, 476.05 and 318.12 is: 474.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.93 : 476.05 = 318.12 : x
  2. Step 2: Convert to fraction form
    318.93/476.05 = 318.12/x
  3. Step 3: Cross multiply
    318.93x = 476.05 × 318.12
  4. Step 4: Simplify right side
    318.93x = 151,441.03
  5. Step 5: Solve for x
    x = 151,441.03/318.93
  6. Step 6: Final answer
    x = 474.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.