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Finding the Fourth Proportional to 333.55, 460.13 and 223.05

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Solution

The fourth proportional to 333.55, 460.13 and 223.05 is: 307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.55 : 460.13 = 223.05 : x
  2. Step 2: Convert to fraction form
    333.55/460.13 = 223.05/x
  3. Step 3: Cross multiply
    333.55x = 460.13 × 223.05
  4. Step 4: Simplify right side
    333.55x = 102,632.00
  5. Step 5: Solve for x
    x = 102,632.00/333.55
  6. Step 6: Final answer
    x = 307.70

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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.