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Finding the Fourth Proportional to 421.94, 632.41 and 356.74

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Solution

The fourth proportional to 421.94, 632.41 and 356.74 is: 534.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.94 : 632.41 = 356.74 : x
  2. Step 2: Convert to fraction form
    421.94/632.41 = 356.74/x
  3. Step 3: Cross multiply
    421.94x = 632.41 × 356.74
  4. Step 4: Simplify right side
    421.94x = 225,603.47
  5. Step 5: Solve for x
    x = 225,603.47/421.94
  6. Step 6: Final answer
    x = 534.68

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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.