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Finding the Fourth Proportional to 307.93, 421.71 and 303.88

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Solution

The fourth proportional to 307.93, 421.71 and 303.88 is: 416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.93 : 421.71 = 303.88 : x
  2. Step 2: Convert to fraction form
    307.93/421.71 = 303.88/x
  3. Step 3: Cross multiply
    307.93x = 421.71 × 303.88
  4. Step 4: Simplify right side
    307.93x = 128,149.23
  5. Step 5: Solve for x
    x = 128,149.23/307.93
  6. Step 6: Final answer
    x = 416.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.