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Finding the Fourth Proportional to 302.12, 452.32 and 157.56

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Solution

The fourth proportional to 302.12, 452.32 and 157.56 is: 235.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.12 : 452.32 = 157.56 : x
  2. Step 2: Convert to fraction form
    302.12/452.32 = 157.56/x
  3. Step 3: Cross multiply
    302.12x = 452.32 × 157.56
  4. Step 4: Simplify right side
    302.12x = 71,267.54
  5. Step 5: Solve for x
    x = 71,267.54/302.12
  6. Step 6: Final answer
    x = 235.89

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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.