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Finding the Fourth Proportional to 313.38, 473.63 and 295.56

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Solution

The fourth proportional to 313.38, 473.63 and 295.56 is: 446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.38 : 473.63 = 295.56 : x
  2. Step 2: Convert to fraction form
    313.38/473.63 = 295.56/x
  3. Step 3: Cross multiply
    313.38x = 473.63 × 295.56
  4. Step 4: Simplify right side
    313.38x = 139,984.61
  5. Step 5: Solve for x
    x = 139,984.61/313.38
  6. Step 6: Final answer
    x = 446.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.