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Finding the Fourth Proportional to 540.51, 745.91 and 354.31

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Solution

The fourth proportional to 540.51, 745.91 and 354.31 is: 488.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.51 : 745.91 = 354.31 : x
  2. Step 2: Convert to fraction form
    540.51/745.91 = 354.31/x
  3. Step 3: Cross multiply
    540.51x = 745.91 × 354.31
  4. Step 4: Simplify right side
    540.51x = 264,283.37
  5. Step 5: Solve for x
    x = 264,283.37/540.51
  6. Step 6: Final answer
    x = 488.95

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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.