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Finding the Fourth Proportional to 421.67, 632.51 and 349.38

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Solution

The fourth proportional to 421.67, 632.51 and 349.38 is: 524.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.67 : 632.51 = 349.38 : x
  2. Step 2: Convert to fraction form
    421.67/632.51 = 349.38/x
  3. Step 3: Cross multiply
    421.67x = 632.51 × 349.38
  4. Step 4: Simplify right side
    421.67x = 220,986.34
  5. Step 5: Solve for x
    x = 220,986.34/421.67
  6. Step 6: Final answer
    x = 524.07

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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.