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Finding the Fourth Proportional to 302.90, 454.42 and 120.30

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Solution

The fourth proportional to 302.90, 454.42 and 120.30 is: 180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.90 : 454.42 = 120.30 : x
  2. Step 2: Convert to fraction form
    302.90/454.42 = 120.30/x
  3. Step 3: Cross multiply
    302.90x = 454.42 × 120.30
  4. Step 4: Simplify right side
    302.90x = 54,666.12
  5. Step 5: Solve for x
    x = 54,666.12/302.90
  6. Step 6: Final answer
    x = 180.48

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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.