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Finding the Fourth Proportional to 314.51, 437.02 and 311.13

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Solution

The fourth proportional to 314.51, 437.02 and 311.13 is: 432.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.51 : 437.02 = 311.13 : x
  2. Step 2: Convert to fraction form
    314.51/437.02 = 311.13/x
  3. Step 3: Cross multiply
    314.51x = 437.02 × 311.13
  4. Step 4: Simplify right side
    314.51x = 135,969.25
  5. Step 5: Solve for x
    x = 135,969.25/314.51
  6. Step 6: Final answer
    x = 432.33

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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.