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Finding the Fourth Proportional to 421.71, 632.48 and 144.11

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Solution

The fourth proportional to 421.71, 632.48 and 144.11 is: 216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.71 : 632.48 = 144.11 : x
  2. Step 2: Convert to fraction form
    421.71/632.48 = 144.11/x
  3. Step 3: Cross multiply
    421.71x = 632.48 × 144.11
  4. Step 4: Simplify right side
    421.71x = 91,142.81
  5. Step 5: Solve for x
    x = 91,142.81/421.71
  6. Step 6: Final answer
    x = 216.13

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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.