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Finding the Fourth Proportional to 378.49, 564.86 and 357.16

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Solution

The fourth proportional to 378.49, 564.86 and 357.16 is: 533.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.49 : 564.86 = 357.16 : x
  2. Step 2: Convert to fraction form
    378.49/564.86 = 357.16/x
  3. Step 3: Cross multiply
    378.49x = 564.86 × 357.16
  4. Step 4: Simplify right side
    378.49x = 201,745.40
  5. Step 5: Solve for x
    x = 201,745.40/378.49
  6. Step 6: Final answer
    x = 533.03

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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.