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Finding the Fourth Proportional to 340.35, 468.50 and 296.61

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Solution

The fourth proportional to 340.35, 468.50 and 296.61 is: 408.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.35 : 468.50 = 296.61 : x
  2. Step 2: Convert to fraction form
    340.35/468.50 = 296.61/x
  3. Step 3: Cross multiply
    340.35x = 468.50 × 296.61
  4. Step 4: Simplify right side
    340.35x = 138,962.85
  5. Step 5: Solve for x
    x = 138,962.85/340.35
  6. Step 6: Final answer
    x = 408.29

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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.