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Finding the Fourth Proportional to 426.09, 586.49 and 307.88

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Solution

The fourth proportional to 426.09, 586.49 and 307.88 is: 423.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.09 : 586.49 = 307.88 : x
  2. Step 2: Convert to fraction form
    426.09/586.49 = 307.88/x
  3. Step 3: Cross multiply
    426.09x = 586.49 × 307.88
  4. Step 4: Simplify right side
    426.09x = 180,566.27
  5. Step 5: Solve for x
    x = 180,566.27/426.09
  6. Step 6: Final answer
    x = 423.77

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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.