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Finding the Fourth Proportional to 340.09, 468.85 and 284.74

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Solution

The fourth proportional to 340.09, 468.85 and 284.74 is: 392.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.09 : 468.85 = 284.74 : x
  2. Step 2: Convert to fraction form
    340.09/468.85 = 284.74/x
  3. Step 3: Cross multiply
    340.09x = 468.85 × 284.74
  4. Step 4: Simplify right side
    340.09x = 133,500.35
  5. Step 5: Solve for x
    x = 133,500.35/340.09
  6. Step 6: Final answer
    x = 392.54

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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.