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Finding the Fourth Proportional to 477.90, 717.06 and 234.36

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Solution

The fourth proportional to 477.90, 717.06 and 234.36 is: 351.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.90 : 717.06 = 234.36 : x
  2. Step 2: Convert to fraction form
    477.90/717.06 = 234.36/x
  3. Step 3: Cross multiply
    477.90x = 717.06 × 234.36
  4. Step 4: Simplify right side
    477.90x = 168,050.18
  5. Step 5: Solve for x
    x = 168,050.18/477.90
  6. Step 6: Final answer
    x = 351.64

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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.