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Finding the Fourth Proportional to 319.43, 475.65 and 318.08

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Solution

The fourth proportional to 319.43, 475.65 and 318.08 is: 473.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.43 : 475.65 = 318.08 : x
  2. Step 2: Convert to fraction form
    319.43/475.65 = 318.08/x
  3. Step 3: Cross multiply
    319.43x = 475.65 × 318.08
  4. Step 4: Simplify right side
    319.43x = 151,292.37
  5. Step 5: Solve for x
    x = 151,292.37/319.43
  6. Step 6: Final answer
    x = 473.64

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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.