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Finding the Fourth Proportional to 421.96, 582.14 and 264.50

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Solution

The fourth proportional to 421.96, 582.14 and 264.50 is: 364.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.96 : 582.14 = 264.50 : x
  2. Step 2: Convert to fraction form
    421.96/582.14 = 264.50/x
  3. Step 3: Cross multiply
    421.96x = 582.14 × 264.50
  4. Step 4: Simplify right side
    421.96x = 153,976.03
  5. Step 5: Solve for x
    x = 153,976.03/421.96
  6. Step 6: Final answer
    x = 364.91

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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.