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Finding the Fourth Proportional to 320.25, 480.18 and 228.72

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Solution

The fourth proportional to 320.25, 480.18 and 228.72 is: 342.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.25 : 480.18 = 228.72 : x
  2. Step 2: Convert to fraction form
    320.25/480.18 = 228.72/x
  3. Step 3: Cross multiply
    320.25x = 480.18 × 228.72
  4. Step 4: Simplify right side
    320.25x = 109,826.77
  5. Step 5: Solve for x
    x = 109,826.77/320.25
  6. Step 6: Final answer
    x = 342.94

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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.