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Finding the Fourth Proportional to 315.83, 474.02 and 123.59

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Solution

The fourth proportional to 315.83, 474.02 and 123.59 is: 185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.83 : 474.02 = 123.59 : x
  2. Step 2: Convert to fraction form
    315.83/474.02 = 123.59/x
  3. Step 3: Cross multiply
    315.83x = 474.02 × 123.59
  4. Step 4: Simplify right side
    315.83x = 58,584.13
  5. Step 5: Solve for x
    x = 58,584.13/315.83
  6. Step 6: Final answer
    x = 185.49

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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.