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Finding the Fourth Proportional to 421.64, 582.08 and 281.96

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Solution

The fourth proportional to 421.64, 582.08 and 281.96 is: 389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.64 : 582.08 = 281.96 : x
  2. Step 2: Convert to fraction form
    421.64/582.08 = 281.96/x
  3. Step 3: Cross multiply
    421.64x = 582.08 × 281.96
  4. Step 4: Simplify right side
    421.64x = 164,123.28
  5. Step 5: Solve for x
    x = 164,123.28/421.64
  6. Step 6: Final answer
    x = 389.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.