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Finding the Fourth Proportional to 531.90, 798.18 and 272.07

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Solution

The fourth proportional to 531.90, 798.18 and 272.07 is: 408.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.90 : 798.18 = 272.07 : x
  2. Step 2: Convert to fraction form
    531.90/798.18 = 272.07/x
  3. Step 3: Cross multiply
    531.90x = 798.18 × 272.07
  4. Step 4: Simplify right side
    531.90x = 217,160.83
  5. Step 5: Solve for x
    x = 217,160.83/531.90
  6. Step 6: Final answer
    x = 408.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.