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Finding the Fourth Proportional to 477.90, 716.78 and 153.22

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Solution

The fourth proportional to 477.90, 716.78 and 153.22 is: 229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.90 : 716.78 = 153.22 : x
  2. Step 2: Convert to fraction form
    477.90/716.78 = 153.22/x
  3. Step 3: Cross multiply
    477.90x = 716.78 × 153.22
  4. Step 4: Simplify right side
    477.90x = 109,824.27
  5. Step 5: Solve for x
    x = 109,824.27/477.90
  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.