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Finding the Fourth Proportional to 440.66, 608.39 and 301.01

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Solution

The fourth proportional to 440.66, 608.39 and 301.01 is: 415.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.66 : 608.39 = 301.01 : x
  2. Step 2: Convert to fraction form
    440.66/608.39 = 301.01/x
  3. Step 3: Cross multiply
    440.66x = 608.39 × 301.01
  4. Step 4: Simplify right side
    440.66x = 183,126.93
  5. Step 5: Solve for x
    x = 183,126.93/440.66
  6. Step 6: Final answer
    x = 415.58

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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.