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Finding the Fourth Proportional to 319.32, 475.43 and 317.70

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Solution

The fourth proportional to 319.32, 475.43 and 317.70 is: 473.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.32 : 475.43 = 317.70 : x
  2. Step 2: Convert to fraction form
    319.32/475.43 = 317.70/x
  3. Step 3: Cross multiply
    319.32x = 475.43 × 317.70
  4. Step 4: Simplify right side
    319.32x = 151,042.52
  5. Step 5: Solve for x
    x = 151,042.52/319.32
  6. Step 6: Final answer
    x = 473.01

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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.