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Finding the Fourth Proportional to 421.82, 582.40 and 264.52

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Solution

The fourth proportional to 421.82, 582.40 and 264.52 is: 365.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.82 : 582.40 = 264.52 : x
  2. Step 2: Convert to fraction form
    421.82/582.40 = 264.52/x
  3. Step 3: Cross multiply
    421.82x = 582.40 × 264.52
  4. Step 4: Simplify right side
    421.82x = 154,056.45
  5. Step 5: Solve for x
    x = 154,056.45/421.82
  6. Step 6: Final answer
    x = 365.22

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