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Finding the Fourth Proportional to 433.47, 598.37 and 293.78

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Solution

The fourth proportional to 433.47, 598.37 and 293.78 is: 405.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.47 : 598.37 = 293.78 : x
  2. Step 2: Convert to fraction form
    433.47/598.37 = 293.78/x
  3. Step 3: Cross multiply
    433.47x = 598.37 × 293.78
  4. Step 4: Simplify right side
    433.47x = 175,787.67
  5. Step 5: Solve for x
    x = 175,787.67/433.47
  6. Step 6: Final answer
    x = 405.54

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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.