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Finding the Fourth Proportional to 383.37, 577.33 and 345.30

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Solution

The fourth proportional to 383.37, 577.33 and 345.30 is: 520.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.37 : 577.33 = 345.30 : x
  2. Step 2: Convert to fraction form
    383.37/577.33 = 345.30/x
  3. Step 3: Cross multiply
    383.37x = 577.33 × 345.30
  4. Step 4: Simplify right side
    383.37x = 199,352.05
  5. Step 5: Solve for x
    x = 199,352.05/383.37
  6. Step 6: Final answer
    x = 520.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.