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Finding the Fourth Proportional to 642.99, 964.80 and 232.22

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Solution

The fourth proportional to 642.99, 964.80 and 232.22 is: 348.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.99 : 964.80 = 232.22 : x
  2. Step 2: Convert to fraction form
    642.99/964.80 = 232.22/x
  3. Step 3: Cross multiply
    642.99x = 964.80 × 232.22
  4. Step 4: Simplify right side
    642.99x = 224,041.03
  5. Step 5: Solve for x
    x = 224,041.03/642.99
  6. Step 6: Final answer
    x = 348.44

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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.