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Finding the Fourth Proportional to 227.60, 314.08 and 128.00

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Solution

The fourth proportional to 227.60, 314.08 and 128.00 is: 176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.60 : 314.08 = 128.00 : x
  2. Step 2: Convert to fraction form
    227.60/314.08 = 128.00/x
  3. Step 3: Cross multiply
    227.60x = 314.08 × 128.00
  4. Step 4: Simplify right side
    227.60x = 40,202.71
  5. Step 5: Solve for x
    x = 40,202.71/227.60
  6. Step 6: Final answer
    x = 176.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.