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Finding the Fourth Proportional to 307.31, 423.77 and 214.16

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Solution

The fourth proportional to 307.31, 423.77 and 214.16 is: 295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.31 : 423.77 = 214.16 : x
  2. Step 2: Convert to fraction form
    307.31/423.77 = 214.16/x
  3. Step 3: Cross multiply
    307.31x = 423.77 × 214.16
  4. Step 4: Simplify right side
    307.31x = 90,751.39
  5. Step 5: Solve for x
    x = 90,751.39/307.31
  6. Step 6: Final answer
    x = 295.31

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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.