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Finding the Fourth Proportional to 421.05, 632.18 and 375.55

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Solution

The fourth proportional to 421.05, 632.18 and 375.55 is: 563.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.05 : 632.18 = 375.55 : x
  2. Step 2: Convert to fraction form
    421.05/632.18 = 375.55/x
  3. Step 3: Cross multiply
    421.05x = 632.18 × 375.55
  4. Step 4: Simplify right side
    421.05x = 237,415.20
  5. Step 5: Solve for x
    x = 237,415.20/421.05
  6. Step 6: Final answer
    x = 563.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.