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Finding the Fourth Proportional to 431.05, 647.16 and 355.09

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Solution

The fourth proportional to 431.05, 647.16 and 355.09 is: 533.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.05 : 647.16 = 355.09 : x
  2. Step 2: Convert to fraction form
    431.05/647.16 = 355.09/x
  3. Step 3: Cross multiply
    431.05x = 647.16 × 355.09
  4. Step 4: Simplify right side
    431.05x = 229,800.04
  5. Step 5: Solve for x
    x = 229,800.04/431.05
  6. Step 6: Final answer
    x = 533.12

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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.