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Finding the Fourth Proportional to 315.60, 473.37 and 179.49

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Solution

The fourth proportional to 315.60, 473.37 and 179.49 is: 269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.60 : 473.37 = 179.49 : x
  2. Step 2: Convert to fraction form
    315.60/473.37 = 179.49/x
  3. Step 3: Cross multiply
    315.60x = 473.37 × 179.49
  4. Step 4: Simplify right side
    315.60x = 84,965.18
  5. Step 5: Solve for x
    x = 84,965.18/315.60
  6. Step 6: Final answer
    x = 269.22

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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.