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Finding the Fourth Proportional to 389.35, 583.26 and 258.96

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Solution

The fourth proportional to 389.35, 583.26 and 258.96 is: 387.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.35 : 583.26 = 258.96 : x
  2. Step 2: Convert to fraction form
    389.35/583.26 = 258.96/x
  3. Step 3: Cross multiply
    389.35x = 583.26 × 258.96
  4. Step 4: Simplify right side
    389.35x = 151,041.01
  5. Step 5: Solve for x
    x = 151,041.01/389.35
  6. Step 6: Final answer
    x = 387.93

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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.