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Finding the Fourth Proportional to 302.10, 452.72 and 157.38

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Solution

The fourth proportional to 302.10, 452.72 and 157.38 is: 235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.10 : 452.72 = 157.38 : x
  2. Step 2: Convert to fraction form
    302.10/452.72 = 157.38/x
  3. Step 3: Cross multiply
    302.10x = 452.72 × 157.38
  4. Step 4: Simplify right side
    302.10x = 71,249.07
  5. Step 5: Solve for x
    x = 71,249.07/302.10
  6. Step 6: Final answer
    x = 235.85

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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.