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Finding the Fourth Proportional to 384.98, 531.09 and 280.02

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Solution

The fourth proportional to 384.98, 531.09 and 280.02 is: 386.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.98 : 531.09 = 280.02 : x
  2. Step 2: Convert to fraction form
    384.98/531.09 = 280.02/x
  3. Step 3: Cross multiply
    384.98x = 531.09 × 280.02
  4. Step 4: Simplify right side
    384.98x = 148,714.98
  5. Step 5: Solve for x
    x = 148,714.98/384.98
  6. Step 6: Final answer
    x = 386.29

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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.