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Finding the Fourth Proportional to 303.09, 417.20 and 279.20

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Solution

The fourth proportional to 303.09, 417.20 and 279.20 is: 384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.09 : 417.20 = 279.20 : x
  2. Step 2: Convert to fraction form
    303.09/417.20 = 279.20/x
  3. Step 3: Cross multiply
    303.09x = 417.20 × 279.20
  4. Step 4: Simplify right side
    303.09x = 116,478.76
  5. Step 5: Solve for x
    x = 116,478.76/303.09
  6. Step 6: Final answer
    x = 384.30

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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.