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Finding the Fourth Proportional to 540.28, 745.56 and 307.40

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Solution

The fourth proportional to 540.28, 745.56 and 307.40 is: 424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.28 : 745.56 = 307.40 : x
  2. Step 2: Convert to fraction form
    540.28/745.56 = 307.40/x
  3. Step 3: Cross multiply
    540.28x = 745.56 × 307.40
  4. Step 4: Simplify right side
    540.28x = 229,185.14
  5. Step 5: Solve for x
    x = 229,185.14/540.28
  6. Step 6: Final answer
    x = 424.20

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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.