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Finding the Fourth Proportional to 380.68, 571.74 and 354.76

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Solution

The fourth proportional to 380.68, 571.74 and 354.76 is: 532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.68 : 571.74 = 354.76 : x
  2. Step 2: Convert to fraction form
    380.68/571.74 = 354.76/x
  3. Step 3: Cross multiply
    380.68x = 571.74 × 354.76
  4. Step 4: Simplify right side
    380.68x = 202,830.48
  5. Step 5: Solve for x
    x = 202,830.48/380.68
  6. Step 6: Final answer
    x = 532.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.