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Finding the Fourth Proportional to 303.45, 452.13 and 302.23

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Solution

The fourth proportional to 303.45, 452.13 and 302.23 is: 450.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.45 : 452.13 = 302.23 : x
  2. Step 2: Convert to fraction form
    303.45/452.13 = 302.23/x
  3. Step 3: Cross multiply
    303.45x = 452.13 × 302.23
  4. Step 4: Simplify right side
    303.45x = 136,648.38
  5. Step 5: Solve for x
    x = 136,648.38/303.45
  6. Step 6: Final answer
    x = 450.32

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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.