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Finding the Fourth Proportional to 384.21, 575.42 and 281.24

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Solution

The fourth proportional to 384.21, 575.42 and 281.24 is: 421.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.21 : 575.42 = 281.24 : x
  2. Step 2: Convert to fraction form
    384.21/575.42 = 281.24/x
  3. Step 3: Cross multiply
    384.21x = 575.42 × 281.24
  4. Step 4: Simplify right side
    384.21x = 161,831.12
  5. Step 5: Solve for x
    x = 161,831.12/384.21
  6. Step 6: Final answer
    x = 421.20

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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.