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Finding the Fourth Proportional to 319.55, 475.45 and 318.42

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Solution

The fourth proportional to 319.55, 475.45 and 318.42 is: 473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.55 : 475.45 = 318.42 : x
  2. Step 2: Convert to fraction form
    319.55/475.45 = 318.42/x
  3. Step 3: Cross multiply
    319.55x = 475.45 × 318.42
  4. Step 4: Simplify right side
    319.55x = 151,391.99
  5. Step 5: Solve for x
    x = 151,391.99/319.55
  6. Step 6: Final answer
    x = 473.77

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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.