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Finding the Fourth Proportional to 303.54, 453.13 and 282.13

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Solution

The fourth proportional to 303.54, 453.13 and 282.13 is: 421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.54 : 453.13 = 282.13 : x
  2. Step 2: Convert to fraction form
    303.54/453.13 = 282.13/x
  3. Step 3: Cross multiply
    303.54x = 453.13 × 282.13
  4. Step 4: Simplify right side
    303.54x = 127,841.57
  5. Step 5: Solve for x
    x = 127,841.57/303.54
  6. Step 6: Final answer
    x = 421.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.