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Finding the Fourth Proportional to 375.68, 563.51 and 153.33

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Solution

The fourth proportional to 375.68, 563.51 and 153.33 is: 229.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.68 : 563.51 = 153.33 : x
  2. Step 2: Convert to fraction form
    375.68/563.51 = 153.33/x
  3. Step 3: Cross multiply
    375.68x = 563.51 × 153.33
  4. Step 4: Simplify right side
    375.68x = 86,402.99
  5. Step 5: Solve for x
    x = 86,402.99/375.68
  6. Step 6: Final answer
    x = 229.99

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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.