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Finding the Fourth Proportional to 409.93, 614.71 and 153.25

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Solution

The fourth proportional to 409.93, 614.71 and 153.25 is: 229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.93 : 614.71 = 153.25 : x
  2. Step 2: Convert to fraction form
    409.93/614.71 = 153.25/x
  3. Step 3: Cross multiply
    409.93x = 614.71 × 153.25
  4. Step 4: Simplify right side
    409.93x = 94,204.31
  5. Step 5: Solve for x
    x = 94,204.31/409.93
  6. Step 6: Final answer
    x = 229.81

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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.