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Finding the Fourth Proportional to 301.12, 453.46 and 263.06

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Solution

The fourth proportional to 301.12, 453.46 and 263.06 is: 396.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.12 : 453.46 = 263.06 : x
  2. Step 2: Convert to fraction form
    301.12/453.46 = 263.06/x
  3. Step 3: Cross multiply
    301.12x = 453.46 × 263.06
  4. Step 4: Simplify right side
    301.12x = 119,287.19
  5. Step 5: Solve for x
    x = 119,287.19/301.12
  6. Step 6: Final answer
    x = 396.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.