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Finding the Fourth Proportional to 307.59, 423.45 and 265.89

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Solution

The fourth proportional to 307.59, 423.45 and 265.89 is: 366.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.59 : 423.45 = 265.89 : x
  2. Step 2: Convert to fraction form
    307.59/423.45 = 265.89/x
  3. Step 3: Cross multiply
    307.59x = 423.45 × 265.89
  4. Step 4: Simplify right side
    307.59x = 112,591.12
  5. Step 5: Solve for x
    x = 112,591.12/307.59
  6. Step 6: Final answer
    x = 366.04

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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.