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Finding the Fourth Proportional to 378.72, 521.40 and 262.08

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Solution

The fourth proportional to 378.72, 521.40 and 262.08 is: 360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.72 : 521.40 = 262.08 : x
  2. Step 2: Convert to fraction form
    378.72/521.40 = 262.08/x
  3. Step 3: Cross multiply
    378.72x = 521.40 × 262.08
  4. Step 4: Simplify right side
    378.72x = 136,648.51
  5. Step 5: Solve for x
    x = 136,648.51/378.72
  6. Step 6: Final answer
    x = 360.82

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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.