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Finding the Fourth Proportional to 421.19, 580.86 and 303.11

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Solution

The fourth proportional to 421.19, 580.86 and 303.11 is: 418.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.19 : 580.86 = 303.11 : x
  2. Step 2: Convert to fraction form
    421.19/580.86 = 303.11/x
  3. Step 3: Cross multiply
    421.19x = 580.86 × 303.11
  4. Step 4: Simplify right side
    421.19x = 176,061.57
  5. Step 5: Solve for x
    x = 176,061.57/421.19
  6. Step 6: Final answer
    x = 418.01

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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.