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Finding the Fourth Proportional to 319.64, 475.62 and 318.56

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Solution

The fourth proportional to 319.64, 475.62 and 318.56 is: 474.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.64 : 475.62 = 318.56 : x
  2. Step 2: Convert to fraction form
    319.64/475.62 = 318.56/x
  3. Step 3: Cross multiply
    319.64x = 475.62 × 318.56
  4. Step 4: Simplify right side
    319.64x = 151,513.51
  5. Step 5: Solve for x
    x = 151,513.51/319.64
  6. Step 6: Final answer
    x = 474.01

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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.