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Finding the Fourth Proportional to 322.61, 483.14 and 205.07

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Solution

The fourth proportional to 322.61, 483.14 and 205.07 is: 307.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.61 : 483.14 = 205.07 : x
  2. Step 2: Convert to fraction form
    322.61/483.14 = 205.07/x
  3. Step 3: Cross multiply
    322.61x = 483.14 × 205.07
  4. Step 4: Simplify right side
    322.61x = 99,075.54
  5. Step 5: Solve for x
    x = 99,075.54/322.61
  6. Step 6: Final answer
    x = 307.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.