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Finding the Fourth Proportional to 421.70, 582.18 and 290.89

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Solution

The fourth proportional to 421.70, 582.18 and 290.89 is: 401.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.70 : 582.18 = 290.89 : x
  2. Step 2: Convert to fraction form
    421.70/582.18 = 290.89/x
  3. Step 3: Cross multiply
    421.70x = 582.18 × 290.89
  4. Step 4: Simplify right side
    421.70x = 169,348.88
  5. Step 5: Solve for x
    x = 169,348.88/421.70
  6. Step 6: Final answer
    x = 401.58

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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.