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Finding the Fourth Proportional to 383.34, 528.78 and 317.70

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Solution

The fourth proportional to 383.34, 528.78 and 317.70 is: 438.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.34 : 528.78 = 317.70 : x
  2. Step 2: Convert to fraction form
    383.34/528.78 = 317.70/x
  3. Step 3: Cross multiply
    383.34x = 528.78 × 317.70
  4. Step 4: Simplify right side
    383.34x = 167,993.41
  5. Step 5: Solve for x
    x = 167,993.41/383.34
  6. Step 6: Final answer
    x = 438.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.