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Finding the Fourth Proportional to 423.47, 632.15 and 361.50

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Solution

The fourth proportional to 423.47, 632.15 and 361.50 is: 539.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.47 : 632.15 = 361.50 : x
  2. Step 2: Convert to fraction form
    423.47/632.15 = 361.50/x
  3. Step 3: Cross multiply
    423.47x = 632.15 × 361.50
  4. Step 4: Simplify right side
    423.47x = 228,520.42
  5. Step 5: Solve for x
    x = 228,520.42/423.47
  6. Step 6: Final answer
    x = 539.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.