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Finding the Fourth Proportional to 328.95, 453.83 and 302.73

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Solution

The fourth proportional to 328.95, 453.83 and 302.73 is: 417.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.95 : 453.83 = 302.73 : x
  2. Step 2: Convert to fraction form
    328.95/453.83 = 302.73/x
  3. Step 3: Cross multiply
    328.95x = 453.83 × 302.73
  4. Step 4: Simplify right side
    328.95x = 137,386.44
  5. Step 5: Solve for x
    x = 137,386.44/328.95
  6. Step 6: Final answer
    x = 417.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.