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Finding the Fourth Proportional to 314.60, 437.06 and 311.60

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Solution

The fourth proportional to 314.60, 437.06 and 311.60 is: 432.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.60 : 437.06 = 311.60 : x
  2. Step 2: Convert to fraction form
    314.60/437.06 = 311.60/x
  3. Step 3: Cross multiply
    314.60x = 437.06 × 311.60
  4. Step 4: Simplify right side
    314.60x = 136,187.90
  5. Step 5: Solve for x
    x = 136,187.90/314.60
  6. Step 6: Final answer
    x = 432.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.