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Finding the Fourth Proportional to 303.22, 457.05 and 277.25

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Solution

The fourth proportional to 303.22, 457.05 and 277.25 is: 417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.22 : 457.05 = 277.25 : x
  2. Step 2: Convert to fraction form
    303.22/457.05 = 277.25/x
  3. Step 3: Cross multiply
    303.22x = 457.05 × 277.25
  4. Step 4: Simplify right side
    303.22x = 126,717.11
  5. Step 5: Solve for x
    x = 126,717.11/303.22
  6. Step 6: Final answer
    x = 417.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.