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Finding the Fourth Proportional to 478.19, 716.83 and 153.34

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Solution

The fourth proportional to 478.19, 716.83 and 153.34 is: 229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.19 : 716.83 = 153.34 : x
  2. Step 2: Convert to fraction form
    478.19/716.83 = 153.34/x
  3. Step 3: Cross multiply
    478.19x = 716.83 × 153.34
  4. Step 4: Simplify right side
    478.19x = 109,916.54
  5. Step 5: Solve for x
    x = 109,916.54/478.19
  6. Step 6: Final answer
    x = 229.86

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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.