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Finding the Fourth Proportional to 378.83, 524.95 and 355.71

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Solution

The fourth proportional to 378.83, 524.95 and 355.71 is: 492.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.83 : 524.95 = 355.71 : x
  2. Step 2: Convert to fraction form
    378.83/524.95 = 355.71/x
  3. Step 3: Cross multiply
    378.83x = 524.95 × 355.71
  4. Step 4: Simplify right side
    378.83x = 186,728.09
  5. Step 5: Solve for x
    x = 186,728.09/378.83
  6. Step 6: Final answer
    x = 492.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.