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Finding the Fourth Proportional to 389.05, 583.49 and 235.02

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Solution

The fourth proportional to 389.05, 583.49 and 235.02 is: 352.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.05 : 583.49 = 235.02 : x
  2. Step 2: Convert to fraction form
    389.05/583.49 = 235.02/x
  3. Step 3: Cross multiply
    389.05x = 583.49 × 235.02
  4. Step 4: Simplify right side
    389.05x = 137,130.64
  5. Step 5: Solve for x
    x = 137,130.64/389.05
  6. Step 6: Final answer
    x = 352.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.