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Finding the Fourth Proportional to 389.85, 537.89 and 302.37

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Solution

The fourth proportional to 389.85, 537.89 and 302.37 is: 417.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.85 : 537.89 = 302.37 : x
  2. Step 2: Convert to fraction form
    389.85/537.89 = 302.37/x
  3. Step 3: Cross multiply
    389.85x = 537.89 × 302.37
  4. Step 4: Simplify right side
    389.85x = 162,640.29
  5. Step 5: Solve for x
    x = 162,640.29/389.85
  6. Step 6: Final answer
    x = 417.19

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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.