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Finding the Fourth Proportional to 478.72, 717.92 and 190.08

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Solution

The fourth proportional to 478.72, 717.92 and 190.08 is: 285.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.72 : 717.92 = 190.08 : x
  2. Step 2: Convert to fraction form
    478.72/717.92 = 190.08/x
  3. Step 3: Cross multiply
    478.72x = 717.92 × 190.08
  4. Step 4: Simplify right side
    478.72x = 136,462.23
  5. Step 5: Solve for x
    x = 136,462.23/478.72
  6. Step 6: Final answer
    x = 285.06

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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.