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Finding the Fourth Proportional to 433.50, 648.60 and 295.92

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Solution

The fourth proportional to 433.50, 648.60 and 295.92 is: 442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.50 : 648.60 = 295.92 : x
  2. Step 2: Convert to fraction form
    433.50/648.60 = 295.92/x
  3. Step 3: Cross multiply
    433.50x = 648.60 × 295.92
  4. Step 4: Simplify right side
    433.50x = 191,933.71
  5. Step 5: Solve for x
    x = 191,933.71/433.50
  6. Step 6: Final answer
    x = 442.75

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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.