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Finding the Fourth Proportional to 421.67, 632.15 and 202.18

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Solution

The fourth proportional to 421.67, 632.15 and 202.18 is: 303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.67 : 632.15 = 202.18 : x
  2. Step 2: Convert to fraction form
    421.67/632.15 = 202.18/x
  3. Step 3: Cross multiply
    421.67x = 632.15 × 202.18
  4. Step 4: Simplify right side
    421.67x = 127,808.09
  5. Step 5: Solve for x
    x = 127,808.09/421.67
  6. Step 6: Final answer
    x = 303.10

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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.