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Finding the Fourth Proportional to 540.14, 745.40 and 330.35

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Solution

The fourth proportional to 540.14, 745.40 and 330.35 is: 455.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.14 : 745.40 = 330.35 : x
  2. Step 2: Convert to fraction form
    540.14/745.40 = 330.35/x
  3. Step 3: Cross multiply
    540.14x = 745.40 × 330.35
  4. Step 4: Simplify right side
    540.14x = 246,239.99
  5. Step 5: Solve for x
    x = 246,239.99/540.14
  6. Step 6: Final answer
    x = 455.89

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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.