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Finding the Fourth Proportional to 304.04, 453.88 and 282.63

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Solution

The fourth proportional to 304.04, 453.88 and 282.63 is: 421.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.04 : 453.88 = 282.63 : x
  2. Step 2: Convert to fraction form
    304.04/453.88 = 282.63/x
  3. Step 3: Cross multiply
    304.04x = 453.88 × 282.63
  4. Step 4: Simplify right side
    304.04x = 128,278.69
  5. Step 5: Solve for x
    x = 128,278.69/304.04
  6. Step 6: Final answer
    x = 421.91

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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.