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Finding the Fourth Proportional to 315.54, 473.31 and 123.21

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Solution

The fourth proportional to 315.54, 473.31 and 123.21 is: 184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.54 : 473.31 = 123.21 : x
  2. Step 2: Convert to fraction form
    315.54/473.31 = 123.21/x
  3. Step 3: Cross multiply
    315.54x = 473.31 × 123.21
  4. Step 4: Simplify right side
    315.54x = 58,316.53
  5. Step 5: Solve for x
    x = 58,316.53/315.54
  6. Step 6: Final answer
    x = 184.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.