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Finding the Fourth Proportional to 378.16, 520.77 and 261.52

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Solution

The fourth proportional to 378.16, 520.77 and 261.52 is: 360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.16 : 520.77 = 261.52 : x
  2. Step 2: Convert to fraction form
    378.16/520.77 = 261.52/x
  3. Step 3: Cross multiply
    378.16x = 520.77 × 261.52
  4. Step 4: Simplify right side
    378.16x = 136,191.77
  5. Step 5: Solve for x
    x = 136,191.77/378.16
  6. Step 6: Final answer
    x = 360.14

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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.