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Finding the Fourth Proportional to 453.47, 680.14 and 145.32

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Solution

The fourth proportional to 453.47, 680.14 and 145.32 is: 217.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.47 : 680.14 = 145.32 : x
  2. Step 2: Convert to fraction form
    453.47/680.14 = 145.32/x
  3. Step 3: Cross multiply
    453.47x = 680.14 × 145.32
  4. Step 4: Simplify right side
    453.47x = 98,837.94
  5. Step 5: Solve for x
    x = 98,837.94/453.47
  6. Step 6: Final answer
    x = 217.96

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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.