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Finding the Fourth Proportional to 421.01, 580.91 and 246.32

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Solution

The fourth proportional to 421.01, 580.91 and 246.32 is: 339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.01 : 580.91 = 246.32 : x
  2. Step 2: Convert to fraction form
    421.01/580.91 = 246.32/x
  3. Step 3: Cross multiply
    421.01x = 580.91 × 246.32
  4. Step 4: Simplify right side
    421.01x = 143,089.75
  5. Step 5: Solve for x
    x = 143,089.75/421.01
  6. Step 6: Final answer
    x = 339.87

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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.