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Finding the Fourth Proportional to 433.65, 652.78 and 332.20

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Solution

The fourth proportional to 433.65, 652.78 and 332.20 is: 500.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.65 : 652.78 = 332.20 : x
  2. Step 2: Convert to fraction form
    433.65/652.78 = 332.20/x
  3. Step 3: Cross multiply
    433.65x = 652.78 × 332.20
  4. Step 4: Simplify right side
    433.65x = 216,855.68
  5. Step 5: Solve for x
    x = 216,855.68/433.65
  6. Step 6: Final answer
    x = 500.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.