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Finding the Fourth Proportional to 440.53, 608.18 and 306.13

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Solution

The fourth proportional to 440.53, 608.18 and 306.13 is: 422.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.53 : 608.18 = 306.13 : x
  2. Step 2: Convert to fraction form
    440.53/608.18 = 306.13/x
  3. Step 3: Cross multiply
    440.53x = 608.18 × 306.13
  4. Step 4: Simplify right side
    440.53x = 186,182.14
  5. Step 5: Solve for x
    x = 186,182.14/440.53
  6. Step 6: Final answer
    x = 422.63

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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.