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Finding the Fourth Proportional to 540.14, 808.59 and 324.14

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Solution

The fourth proportional to 540.14, 808.59 and 324.14 is: 485.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.14 : 808.59 = 324.14 : x
  2. Step 2: Convert to fraction form
    540.14/808.59 = 324.14/x
  3. Step 3: Cross multiply
    540.14x = 808.59 × 324.14
  4. Step 4: Simplify right side
    540.14x = 262,096.36
  5. Step 5: Solve for x
    x = 262,096.36/540.14
  6. Step 6: Final answer
    x = 485.24

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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.