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Finding the Fourth Proportional to 378.27, 564.03 and 358.02

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Solution

The fourth proportional to 378.27, 564.03 and 358.02 is: 533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.27 : 564.03 = 358.02 : x
  2. Step 2: Convert to fraction form
    378.27/564.03 = 358.02/x
  3. Step 3: Cross multiply
    378.27x = 564.03 × 358.02
  4. Step 4: Simplify right side
    378.27x = 201,934.02
  5. Step 5: Solve for x
    x = 201,934.02/378.27
  6. Step 6: Final answer
    x = 533.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.