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Finding the Fourth Proportional to 223.46, 307.68 and 184.20

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Solution

The fourth proportional to 223.46, 307.68 and 184.20 is: 253.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.46 : 307.68 = 184.20 : x
  2. Step 2: Convert to fraction form
    223.46/307.68 = 184.20/x
  3. Step 3: Cross multiply
    223.46x = 307.68 × 184.20
  4. Step 4: Simplify right side
    223.46x = 56,674.66
  5. Step 5: Solve for x
    x = 56,674.66/223.46
  6. Step 6: Final answer
    x = 253.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.