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Finding the Fourth Proportional to 380.22, 525.21 and 270.06

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Solution

The fourth proportional to 380.22, 525.21 and 270.06 is: 373.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.22 : 525.21 = 270.06 : x
  2. Step 2: Convert to fraction form
    380.22/525.21 = 270.06/x
  3. Step 3: Cross multiply
    380.22x = 525.21 × 270.06
  4. Step 4: Simplify right side
    380.22x = 141,838.21
  5. Step 5: Solve for x
    x = 141,838.21/380.22
  6. Step 6: Final answer
    x = 373.04

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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.