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Finding the Fourth Proportional to 302.56, 453.12 and 174.08

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Solution

The fourth proportional to 302.56, 453.12 and 174.08 is: 260.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.56 : 453.12 = 174.08 : x
  2. Step 2: Convert to fraction form
    302.56/453.12 = 174.08/x
  3. Step 3: Cross multiply
    302.56x = 453.12 × 174.08
  4. Step 4: Simplify right side
    302.56x = 78,879.13
  5. Step 5: Solve for x
    x = 78,879.13/302.56
  6. Step 6: Final answer
    x = 260.71

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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.