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Finding the Fourth Proportional to 389.73, 537.90 and 307.48

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Solution

The fourth proportional to 389.73, 537.90 and 307.48 is: 424.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.73 : 537.90 = 307.48 : x
  2. Step 2: Convert to fraction form
    389.73/537.90 = 307.48/x
  3. Step 3: Cross multiply
    389.73x = 537.90 × 307.48
  4. Step 4: Simplify right side
    389.73x = 165,393.49
  5. Step 5: Solve for x
    x = 165,393.49/389.73
  6. Step 6: Final answer
    x = 424.38

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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.