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Finding the Fourth Proportional to 421.69, 581.02 and 303.27

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Solution

The fourth proportional to 421.69, 581.02 and 303.27 is: 417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.69 : 581.02 = 303.27 : x
  2. Step 2: Convert to fraction form
    421.69/581.02 = 303.27/x
  3. Step 3: Cross multiply
    421.69x = 581.02 × 303.27
  4. Step 4: Simplify right side
    421.69x = 176,204.42
  5. Step 5: Solve for x
    x = 176,204.42/421.69
  6. Step 6: Final answer
    x = 417.86

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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.