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Finding the Fourth Proportional to 389.30, 537 and 306.28

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Solution

The fourth proportional to 389.30, 537 and 306.28 is: 422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.30 : 537 = 306.28 : x
  2. Step 2: Convert to fraction form
    389.30/537 = 306.28/x
  3. Step 3: Cross multiply
    389.30x = 537 × 306.28
  4. Step 4: Simplify right side
    389.30x = 164,472.36
  5. Step 5: Solve for x
    x = 164,472.36/389.30
  6. Step 6: Final answer
    x = 422.48

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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.