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Finding the Fourth Proportional to 433.32, 596.58 and 345.48

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Solution

The fourth proportional to 433.32, 596.58 and 345.48 is: 475.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.32 : 596.58 = 345.48 : x
  2. Step 2: Convert to fraction form
    433.32/596.58 = 345.48/x
  3. Step 3: Cross multiply
    433.32x = 596.58 × 345.48
  4. Step 4: Simplify right side
    433.32x = 206,106.46
  5. Step 5: Solve for x
    x = 206,106.46/433.32
  6. Step 6: Final answer
    x = 475.64

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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.