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Finding the Fourth Proportional to 384.26, 529.17 and 364.21

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Solution

The fourth proportional to 384.26, 529.17 and 364.21 is: 501.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.26 : 529.17 = 364.21 : x
  2. Step 2: Convert to fraction form
    384.26/529.17 = 364.21/x
  3. Step 3: Cross multiply
    384.26x = 529.17 × 364.21
  4. Step 4: Simplify right side
    384.26x = 192,726.32
  5. Step 5: Solve for x
    x = 192,726.32/384.26
  6. Step 6: Final answer
    x = 501.56

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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.