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Finding the Fourth Proportional to 390.22, 535.54 and 384.28

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Solution

The fourth proportional to 390.22, 535.54 and 384.28 is: 527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.22 : 535.54 = 384.28 : x
  2. Step 2: Convert to fraction form
    390.22/535.54 = 384.28/x
  3. Step 3: Cross multiply
    390.22x = 535.54 × 384.28
  4. Step 4: Simplify right side
    390.22x = 205,797.31
  5. Step 5: Solve for x
    x = 205,797.31/390.22
  6. Step 6: Final answer
    x = 527.39

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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.