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Finding the Fourth Proportional to 320.11, 477.91 and 289.42

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Solution

The fourth proportional to 320.11, 477.91 and 289.42 is: 432.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.11 : 477.91 = 289.42 : x
  2. Step 2: Convert to fraction form
    320.11/477.91 = 289.42/x
  3. Step 3: Cross multiply
    320.11x = 477.91 × 289.42
  4. Step 4: Simplify right side
    320.11x = 138,316.71
  5. Step 5: Solve for x
    x = 138,316.71/320.11
  6. Step 6: Final answer
    x = 432.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.