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Finding the Fourth Proportional to 520.18, 780.34 and 154.92

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Solution

The fourth proportional to 520.18, 780.34 and 154.92 is: 232.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.18 : 780.34 = 154.92 : x
  2. Step 2: Convert to fraction form
    520.18/780.34 = 154.92/x
  3. Step 3: Cross multiply
    520.18x = 780.34 × 154.92
  4. Step 4: Simplify right side
    520.18x = 120,890.27
  5. Step 5: Solve for x
    x = 120,890.27/520.18
  6. Step 6: Final answer
    x = 232.40

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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.