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Finding the Fourth Proportional to 380.64, 525.06 and 233.30

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Solution

The fourth proportional to 380.64, 525.06 and 233.30 is: 321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.64 : 525.06 = 233.30 : x
  2. Step 2: Convert to fraction form
    380.64/525.06 = 233.30/x
  3. Step 3: Cross multiply
    380.64x = 525.06 × 233.30
  4. Step 4: Simplify right side
    380.64x = 122,496.50
  5. Step 5: Solve for x
    x = 122,496.50/380.64
  6. Step 6: Final answer
    x = 321.82

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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.