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Finding the Fourth Proportional to 378.16, 521.86 and 253.62

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Solution

The fourth proportional to 378.16, 521.86 and 253.62 is: 350.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.16 : 521.86 = 253.62 : x
  2. Step 2: Convert to fraction form
    378.16/521.86 = 253.62/x
  3. Step 3: Cross multiply
    378.16x = 521.86 × 253.62
  4. Step 4: Simplify right side
    378.16x = 132,354.13
  5. Step 5: Solve for x
    x = 132,354.13/378.16
  6. Step 6: Final answer
    x = 350.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.