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Finding the Fourth Proportional to 378.87, 567.10 and 262.72

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Solution

The fourth proportional to 378.87, 567.10 and 262.72 is: 393.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.87 : 567.10 = 262.72 : x
  2. Step 2: Convert to fraction form
    378.87/567.10 = 262.72/x
  3. Step 3: Cross multiply
    378.87x = 567.10 × 262.72
  4. Step 4: Simplify right side
    378.87x = 148,988.51
  5. Step 5: Solve for x
    x = 148,988.51/378.87
  6. Step 6: Final answer
    x = 393.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.