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Finding the Fourth Proportional to 219.12, 328.72 and 74.83

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Solution

The fourth proportional to 219.12, 328.72 and 74.83 is: 112.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.12 : 328.72 = 74.83 : x
  2. Step 2: Convert to fraction form
    219.12/328.72 = 74.83/x
  3. Step 3: Cross multiply
    219.12x = 328.72 × 74.83
  4. Step 4: Simplify right side
    219.12x = 24,598.12
  5. Step 5: Solve for x
    x = 24,598.12/219.12
  6. Step 6: Final answer
    x = 112.26

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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.