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Finding the Fourth Proportional to 389.60, 541.36 and 384.96

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Solution

The fourth proportional to 389.60, 541.36 and 384.96 is: 534.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.60 : 541.36 = 384.96 : x
  2. Step 2: Convert to fraction form
    389.60/541.36 = 384.96/x
  3. Step 3: Cross multiply
    389.60x = 541.36 × 384.96
  4. Step 4: Simplify right side
    389.60x = 208,401.95
  5. Step 5: Solve for x
    x = 208,401.95/389.60
  6. Step 6: Final answer
    x = 534.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.