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Finding the Fourth Proportional to 307.44, 424.13 and 205.15

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Solution

The fourth proportional to 307.44, 424.13 and 205.15 is: 283.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.44 : 424.13 = 205.15 : x
  2. Step 2: Convert to fraction form
    307.44/424.13 = 205.15/x
  3. Step 3: Cross multiply
    307.44x = 424.13 × 205.15
  4. Step 4: Simplify right side
    307.44x = 87,009.72
  5. Step 5: Solve for x
    x = 87,009.72/307.44
  6. Step 6: Final answer
    x = 283.01

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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.