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Finding the Fourth Proportional to 315.09, 472.64 and 109.67

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Solution

The fourth proportional to 315.09, 472.64 and 109.67 is: 164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.09 : 472.64 = 109.67 : x
  2. Step 2: Convert to fraction form
    315.09/472.64 = 109.67/x
  3. Step 3: Cross multiply
    315.09x = 472.64 × 109.67
  4. Step 4: Simplify right side
    315.09x = 51,831.52
  5. Step 5: Solve for x
    x = 51,831.52/315.09
  6. Step 6: Final answer
    x = 164.50

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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.