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Finding the Fourth Proportional to 223.20, 307.65 and 157.59

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Solution

The fourth proportional to 223.20, 307.65 and 157.59 is: 217.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.20 : 307.65 = 157.59 : x
  2. Step 2: Convert to fraction form
    223.20/307.65 = 157.59/x
  3. Step 3: Cross multiply
    223.20x = 307.65 × 157.59
  4. Step 4: Simplify right side
    223.20x = 48,482.56
  5. Step 5: Solve for x
    x = 48,482.56/223.20
  6. Step 6: Final answer
    x = 217.22

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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.