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Finding the Fourth Proportional to 612.15, 917.68 and 222.06

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Solution

The fourth proportional to 612.15, 917.68 and 222.06 is: 332.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.15 : 917.68 = 222.06 : x
  2. Step 2: Convert to fraction form
    612.15/917.68 = 222.06/x
  3. Step 3: Cross multiply
    612.15x = 917.68 × 222.06
  4. Step 4: Simplify right side
    612.15x = 203,780.02
  5. Step 5: Solve for x
    x = 203,780.02/612.15
  6. Step 6: Final answer
    x = 332.89

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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.