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Finding the Fourth Proportional to 379.84, 566.78 and 356.62

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Solution

The fourth proportional to 379.84, 566.78 and 356.62 is: 532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.84 : 566.78 = 356.62 : x
  2. Step 2: Convert to fraction form
    379.84/566.78 = 356.62/x
  3. Step 3: Cross multiply
    379.84x = 566.78 × 356.62
  4. Step 4: Simplify right side
    379.84x = 202,127.39
  5. Step 5: Solve for x
    x = 202,127.39/379.84
  6. Step 6: Final answer
    x = 532.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.