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Finding the Fourth Proportional to 305.99, 421.23 and 266.10

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Solution

The fourth proportional to 305.99, 421.23 and 266.10 is: 366.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.99 : 421.23 = 266.10 : x
  2. Step 2: Convert to fraction form
    305.99/421.23 = 266.10/x
  3. Step 3: Cross multiply
    305.99x = 421.23 × 266.10
  4. Step 4: Simplify right side
    305.99x = 112,089.30
  5. Step 5: Solve for x
    x = 112,089.30/305.99
  6. Step 6: Final answer
    x = 366.32

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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.