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Finding the Fourth Proportional to 524.80, 786.61 and 232.21

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Solution

The fourth proportional to 524.80, 786.61 and 232.21 is: 348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.80 : 786.61 = 232.21 : x
  2. Step 2: Convert to fraction form
    524.80/786.61 = 232.21/x
  3. Step 3: Cross multiply
    524.80x = 786.61 × 232.21
  4. Step 4: Simplify right side
    524.80x = 182,658.71
  5. Step 5: Solve for x
    x = 182,658.71/524.80
  6. Step 6: Final answer
    x = 348.05

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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.