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Finding the Fourth Proportional to 307.29, 423 and 265.59

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Solution

The fourth proportional to 307.29, 423 and 265.59 is: 365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.29 : 423 = 265.59 : x
  2. Step 2: Convert to fraction form
    307.29/423 = 265.59/x
  3. Step 3: Cross multiply
    307.29x = 423 × 265.59
  4. Step 4: Simplify right side
    307.29x = 112,344.57
  5. Step 5: Solve for x
    x = 112,344.57/307.29
  6. Step 6: Final answer
    x = 365.60

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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.