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Finding the Fourth Proportional to 432.33, 647.30 and 356.21

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Solution

The fourth proportional to 432.33, 647.30 and 356.21 is: 533.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.33 : 647.30 = 356.21 : x
  2. Step 2: Convert to fraction form
    432.33/647.30 = 356.21/x
  3. Step 3: Cross multiply
    432.33x = 647.30 × 356.21
  4. Step 4: Simplify right side
    432.33x = 230,572.95
  5. Step 5: Solve for x
    x = 230,572.95/432.33
  6. Step 6: Final answer
    x = 533.33

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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.