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Finding the Fourth Proportional to 540.31, 745.62 and 307.43

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Solution

The fourth proportional to 540.31, 745.62 and 307.43 is: 424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.31 : 745.62 = 307.43 : x
  2. Step 2: Convert to fraction form
    540.31/745.62 = 307.43/x
  3. Step 3: Cross multiply
    540.31x = 745.62 × 307.43
  4. Step 4: Simplify right side
    540.31x = 229,225.96
  5. Step 5: Solve for x
    x = 229,225.96/540.31
  6. Step 6: Final answer
    x = 424.25

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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.