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Finding the Fourth Proportional to 315.23, 472.79 and 120.17

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Solution

The fourth proportional to 315.23, 472.79 and 120.17 is: 180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.23 : 472.79 = 120.17 : x
  2. Step 2: Convert to fraction form
    315.23/472.79 = 120.17/x
  3. Step 3: Cross multiply
    315.23x = 472.79 × 120.17
  4. Step 4: Simplify right side
    315.23x = 56,815.17
  5. Step 5: Solve for x
    x = 56,815.17/315.23
  6. Step 6: Final answer
    x = 180.24

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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.