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Finding the Fourth Proportional to 540.78, 746.31 and 307.92

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Solution

The fourth proportional to 540.78, 746.31 and 307.92 is: 424.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.78 : 746.31 = 307.92 : x
  2. Step 2: Convert to fraction form
    540.78/746.31 = 307.92/x
  3. Step 3: Cross multiply
    540.78x = 746.31 × 307.92
  4. Step 4: Simplify right side
    540.78x = 229,803.78
  5. Step 5: Solve for x
    x = 229,803.78/540.78
  6. Step 6: Final answer
    x = 424.95

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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.