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Finding the Fourth Proportional to 383.57, 529.03 and 259.03

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Solution

The fourth proportional to 383.57, 529.03 and 259.03 is: 357.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.57 : 529.03 = 259.03 : x
  2. Step 2: Convert to fraction form
    383.57/529.03 = 259.03/x
  3. Step 3: Cross multiply
    383.57x = 529.03 × 259.03
  4. Step 4: Simplify right side
    383.57x = 137,035.63
  5. Step 5: Solve for x
    x = 137,035.63/383.57
  6. Step 6: Final answer
    x = 357.26

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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.