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Finding the Fourth Proportional to 302.76, 417.83 and 275.22

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Solution

The fourth proportional to 302.76, 417.83 and 275.22 is: 379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.76 : 417.83 = 275.22 : x
  2. Step 2: Convert to fraction form
    302.76/417.83 = 275.22/x
  3. Step 3: Cross multiply
    302.76x = 417.83 × 275.22
  4. Step 4: Simplify right side
    302.76x = 114,993.80
  5. Step 5: Solve for x
    x = 114,993.80/302.76
  6. Step 6: Final answer
    x = 379.82

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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.