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Finding the Fourth Proportional to 304.48, 453.80 and 283.72

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Solution

The fourth proportional to 304.48, 453.80 and 283.72 is: 422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.48 : 453.80 = 283.72 : x
  2. Step 2: Convert to fraction form
    304.48/453.80 = 283.72/x
  3. Step 3: Cross multiply
    304.48x = 453.80 × 283.72
  4. Step 4: Simplify right side
    304.48x = 128,752.14
  5. Step 5: Solve for x
    x = 128,752.14/304.48
  6. Step 6: Final answer
    x = 422.86

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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.