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Finding the Fourth Proportional to 378.71, 519.76 and 368.46

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Solution

The fourth proportional to 378.71, 519.76 and 368.46 is: 505.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.71 : 519.76 = 368.46 : x
  2. Step 2: Convert to fraction form
    378.71/519.76 = 368.46/x
  3. Step 3: Cross multiply
    378.71x = 519.76 × 368.46
  4. Step 4: Simplify right side
    378.71x = 191,510.77
  5. Step 5: Solve for x
    x = 191,510.77/378.71
  6. Step 6: Final answer
    x = 505.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.