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Finding the Fourth Proportional to 315.06, 473.60 and 298.86

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Solution

The fourth proportional to 315.06, 473.60 and 298.86 is: 449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.06 : 473.60 = 298.86 : x
  2. Step 2: Convert to fraction form
    315.06/473.60 = 298.86/x
  3. Step 3: Cross multiply
    315.06x = 473.60 × 298.86
  4. Step 4: Simplify right side
    315.06x = 141,540.84
  5. Step 5: Solve for x
    x = 141,540.84/315.06
  6. Step 6: Final answer
    x = 449.25

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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.