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Finding the Fourth Proportional to 540.42, 810.84 and 232.50

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Solution

The fourth proportional to 540.42, 810.84 and 232.50 is: 348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.42 : 810.84 = 232.50 : x
  2. Step 2: Convert to fraction form
    540.42/810.84 = 232.50/x
  3. Step 3: Cross multiply
    540.42x = 810.84 × 232.50
  4. Step 4: Simplify right side
    540.42x = 188,520.30
  5. Step 5: Solve for x
    x = 188,520.30/540.42
  6. Step 6: Final answer
    x = 348.84

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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.