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Finding the Fourth Proportional to 421.02, 632.16 and 204.75

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Solution

The fourth proportional to 421.02, 632.16 and 204.75 is: 307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.02 : 632.16 = 204.75 : x
  2. Step 2: Convert to fraction form
    421.02/632.16 = 204.75/x
  3. Step 3: Cross multiply
    421.02x = 632.16 × 204.75
  4. Step 4: Simplify right side
    421.02x = 129,434.76
  5. Step 5: Solve for x
    x = 129,434.76/421.02
  6. Step 6: Final answer
    x = 307.43

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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.