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Finding the Fourth Proportional to 453.76, 680.00 and 258.48

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Solution

The fourth proportional to 453.76, 680.00 and 258.48 is: 387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.76 : 680.00 = 258.48 : x
  2. Step 2: Convert to fraction form
    453.76/680.00 = 258.48/x
  3. Step 3: Cross multiply
    453.76x = 680.00 × 258.48
  4. Step 4: Simplify right side
    453.76x = 175,765.11
  5. Step 5: Solve for x
    x = 175,765.11/453.76
  6. Step 6: Final answer
    x = 387.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.