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Finding the Fourth Proportional to 477.85, 716.91 and 148.78

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Solution

The fourth proportional to 477.85, 716.91 and 148.78 is: 223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.85 : 716.91 = 148.78 : x
  2. Step 2: Convert to fraction form
    477.85/716.91 = 148.78/x
  3. Step 3: Cross multiply
    477.85x = 716.91 × 148.78
  4. Step 4: Simplify right side
    477.85x = 106,661.87
  5. Step 5: Solve for x
    x = 106,661.87/477.85
  6. Step 6: Final answer
    x = 223.21

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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.