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Finding the Fourth Proportional to 303.40, 451.67 and 301.60

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Solution

The fourth proportional to 303.40, 451.67 and 301.60 is: 448.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.40 : 451.67 = 301.60 : x
  2. Step 2: Convert to fraction form
    303.40/451.67 = 301.60/x
  3. Step 3: Cross multiply
    303.40x = 451.67 × 301.60
  4. Step 4: Simplify right side
    303.40x = 136,223.67
  5. Step 5: Solve for x
    x = 136,223.67/303.40
  6. Step 6: Final answer
    x = 448.99

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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.