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Finding the Fourth Proportional to 421.12, 632.22 and 277.21

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Solution

The fourth proportional to 421.12, 632.22 and 277.21 is: 416.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.12 : 632.22 = 277.21 : x
  2. Step 2: Convert to fraction form
    421.12/632.22 = 277.21/x
  3. Step 3: Cross multiply
    421.12x = 632.22 × 277.21
  4. Step 4: Simplify right side
    421.12x = 175,257.71
  5. Step 5: Solve for x
    x = 175,257.71/421.12
  6. Step 6: Final answer
    x = 416.17

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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.