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Finding the Fourth Proportional to 307.16, 421.65 and 282.55

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Solution

The fourth proportional to 307.16, 421.65 and 282.55 is: 387.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.16 : 421.65 = 282.55 : x
  2. Step 2: Convert to fraction form
    307.16/421.65 = 282.55/x
  3. Step 3: Cross multiply
    307.16x = 421.65 × 282.55
  4. Step 4: Simplify right side
    307.16x = 119,133.69
  5. Step 5: Solve for x
    x = 119,133.69/307.16
  6. Step 6: Final answer
    x = 387.86

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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.