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Finding the Fourth Proportional to 314.60, 434.02 and 227.08

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Solution

The fourth proportional to 314.60, 434.02 and 227.08 is: 313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.60 : 434.02 = 227.08 : x
  2. Step 2: Convert to fraction form
    314.60/434.02 = 227.08/x
  3. Step 3: Cross multiply
    314.60x = 434.02 × 227.08
  4. Step 4: Simplify right side
    314.60x = 98,557.26
  5. Step 5: Solve for x
    x = 98,557.26/314.60
  6. Step 6: Final answer
    x = 313.28

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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.