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Finding the Fourth Proportional to 564.30, 846.49 and 153.39

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Solution

The fourth proportional to 564.30, 846.49 and 153.39 is: 230.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.30 : 846.49 = 153.39 : x
  2. Step 2: Convert to fraction form
    564.30/846.49 = 153.39/x
  3. Step 3: Cross multiply
    564.30x = 846.49 × 153.39
  4. Step 4: Simplify right side
    564.30x = 129,838.87
  5. Step 5: Solve for x
    x = 129,838.87/564.30
  6. Step 6: Final answer
    x = 230.09

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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.