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Finding the Fourth Proportional to 421.58, 582.33 and 290.36

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Solution

The fourth proportional to 421.58, 582.33 and 290.36 is: 401.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.58 : 582.33 = 290.36 : x
  2. Step 2: Convert to fraction form
    421.58/582.33 = 290.36/x
  3. Step 3: Cross multiply
    421.58x = 582.33 × 290.36
  4. Step 4: Simplify right side
    421.58x = 169,085.34
  5. Step 5: Solve for x
    x = 169,085.34/421.58
  6. Step 6: Final answer
    x = 401.08

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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.