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Finding the Fourth Proportional to 315.14, 472.29 and 120.04

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Solution

The fourth proportional to 315.14, 472.29 and 120.04 is: 179.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.14 : 472.29 = 120.04 : x
  2. Step 2: Convert to fraction form
    315.14/472.29 = 120.04/x
  3. Step 3: Cross multiply
    315.14x = 472.29 × 120.04
  4. Step 4: Simplify right side
    315.14x = 56,692.51
  5. Step 5: Solve for x
    x = 56,692.51/315.14
  6. Step 6: Final answer
    x = 179.89

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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.