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Finding the Fourth Proportional to 338.75, 505.05 and 318.10

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Solution

The fourth proportional to 338.75, 505.05 and 318.10 is: 474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.75 : 505.05 = 318.10 : x
  2. Step 2: Convert to fraction form
    338.75/505.05 = 318.10/x
  3. Step 3: Cross multiply
    338.75x = 505.05 × 318.10
  4. Step 4: Simplify right side
    338.75x = 160,652.29
  5. Step 5: Solve for x
    x = 160,652.29/338.75
  6. Step 6: Final answer
    x = 474.25

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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.