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Finding the Fourth Proportional to 340.70, 469.68 and 281.78

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Solution

The fourth proportional to 340.70, 469.68 and 281.78 is: 388.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.70 : 469.68 = 281.78 : x
  2. Step 2: Convert to fraction form
    340.70/469.68 = 281.78/x
  3. Step 3: Cross multiply
    340.70x = 469.68 × 281.78
  4. Step 4: Simplify right side
    340.70x = 132,344.08
  5. Step 5: Solve for x
    x = 132,344.08/340.70
  6. Step 6: Final answer
    x = 388.45

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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.