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Finding the Fourth Proportional to 389.04, 535.30 and 379.81

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Solution

The fourth proportional to 389.04, 535.30 and 379.81 is: 522.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.04 : 535.30 = 379.81 : x
  2. Step 2: Convert to fraction form
    389.04/535.30 = 379.81/x
  3. Step 3: Cross multiply
    389.04x = 535.30 × 379.81
  4. Step 4: Simplify right side
    389.04x = 203,312.01
  5. Step 5: Solve for x
    x = 203,312.01/389.04
  6. Step 6: Final answer
    x = 522.60

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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.