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Finding the Fourth Proportional to 453.31, 680 and 260.53

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Solution

The fourth proportional to 453.31, 680 and 260.53 is: 390.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.31 : 680 = 260.53 : x
  2. Step 2: Convert to fraction form
    453.31/680 = 260.53/x
  3. Step 3: Cross multiply
    453.31x = 680 × 260.53
  4. Step 4: Simplify right side
    453.31x = 177,160.40
  5. Step 5: Solve for x
    x = 177,160.40/453.31
  6. Step 6: Final answer
    x = 390.82

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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.