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Finding the Fourth Proportional to 319.15, 475.18 and 317.35

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Solution

The fourth proportional to 319.15, 475.18 and 317.35 is: 472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.15 : 475.18 = 317.35 : x
  2. Step 2: Convert to fraction form
    319.15/475.18 = 317.35/x
  3. Step 3: Cross multiply
    319.15x = 475.18 × 317.35
  4. Step 4: Simplify right side
    319.15x = 150,798.37
  5. Step 5: Solve for x
    x = 150,798.37/319.15
  6. Step 6: Final answer
    x = 472.50

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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.