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Finding the Fourth Proportional to 475.48, 712.74 and 228.32

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Solution

The fourth proportional to 475.48, 712.74 and 228.32 is: 342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.48 : 712.74 = 228.32 : x
  2. Step 2: Convert to fraction form
    475.48/712.74 = 228.32/x
  3. Step 3: Cross multiply
    475.48x = 712.74 × 228.32
  4. Step 4: Simplify right side
    475.48x = 162,731.66
  5. Step 5: Solve for x
    x = 162,731.66/475.48
  6. Step 6: Final answer
    x = 342.25

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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.