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Finding the Fourth Proportional to 437.55, 659.34 and 362.21

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Solution

The fourth proportional to 437.55, 659.34 and 362.21 is: 545.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.55 : 659.34 = 362.21 : x
  2. Step 2: Convert to fraction form
    437.55/659.34 = 362.21/x
  3. Step 3: Cross multiply
    437.55x = 659.34 × 362.21
  4. Step 4: Simplify right side
    437.55x = 238,819.95
  5. Step 5: Solve for x
    x = 238,819.95/437.55
  6. Step 6: Final answer
    x = 545.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.