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Finding the Fourth Proportional to 389.64, 537.21 and 284.64

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Solution

The fourth proportional to 389.64, 537.21 and 284.64 is: 392.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.64 : 537.21 = 284.64 : x
  2. Step 2: Convert to fraction form
    389.64/537.21 = 284.64/x
  3. Step 3: Cross multiply
    389.64x = 537.21 × 284.64
  4. Step 4: Simplify right side
    389.64x = 152,911.45
  5. Step 5: Solve for x
    x = 152,911.45/389.64
  6. Step 6: Final answer
    x = 392.44

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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.