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Finding the Fourth Proportional to 505.40, 758.12 and 261.86

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Solution

The fourth proportional to 505.40, 758.12 and 261.86 is: 392.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.40 : 758.12 = 261.86 : x
  2. Step 2: Convert to fraction form
    505.40/758.12 = 261.86/x
  3. Step 3: Cross multiply
    505.40x = 758.12 × 261.86
  4. Step 4: Simplify right side
    505.40x = 198,521.30
  5. Step 5: Solve for x
    x = 198,521.30/505.40
  6. Step 6: Final answer
    x = 392.80

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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.