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Finding the Fourth Proportional to 389.34, 533.76 and 379.01

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Solution

The fourth proportional to 389.34, 533.76 and 379.01 is: 519.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.34 : 533.76 = 379.01 : x
  2. Step 2: Convert to fraction form
    389.34/533.76 = 379.01/x
  3. Step 3: Cross multiply
    389.34x = 533.76 × 379.01
  4. Step 4: Simplify right side
    389.34x = 202,300.29
  5. Step 5: Solve for x
    x = 202,300.29/389.34
  6. Step 6: Final answer
    x = 519.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.