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Finding the Fourth Proportional to 378.42, 524.81 and 354.66

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Solution

The fourth proportional to 378.42, 524.81 and 354.66 is: 491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.42 : 524.81 = 354.66 : x
  2. Step 2: Convert to fraction form
    378.42/524.81 = 354.66/x
  3. Step 3: Cross multiply
    378.42x = 524.81 × 354.66
  4. Step 4: Simplify right side
    378.42x = 186,127.34
  5. Step 5: Solve for x
    x = 186,127.34/378.42
  6. Step 6: Final answer
    x = 491.85

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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.