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Finding the Fourth Proportional to 389.12, 537.68 and 278.41

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Solution

The fourth proportional to 389.12, 537.68 and 278.41 is: 384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.12 : 537.68 = 278.41 : x
  2. Step 2: Convert to fraction form
    389.12/537.68 = 278.41/x
  3. Step 3: Cross multiply
    389.12x = 537.68 × 278.41
  4. Step 4: Simplify right side
    389.12x = 149,695.49
  5. Step 5: Solve for x
    x = 149,695.49/389.12
  6. Step 6: Final answer
    x = 384.70

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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.