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Finding the Fourth Proportional to 314.51, 471.94 and 160.45

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Solution

The fourth proportional to 314.51, 471.94 and 160.45 is: 240.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.51 : 471.94 = 160.45 : x
  2. Step 2: Convert to fraction form
    314.51/471.94 = 160.45/x
  3. Step 3: Cross multiply
    314.51x = 471.94 × 160.45
  4. Step 4: Simplify right side
    314.51x = 75,722.77
  5. Step 5: Solve for x
    x = 75,722.77/314.51
  6. Step 6: Final answer
    x = 240.76

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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.