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Finding the Fourth Proportional to 314.64, 434.25 and 311.01

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Solution

The fourth proportional to 314.64, 434.25 and 311.01 is: 429.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.64 : 434.25 = 311.01 : x
  2. Step 2: Convert to fraction form
    314.64/434.25 = 311.01/x
  3. Step 3: Cross multiply
    314.64x = 434.25 × 311.01
  4. Step 4: Simplify right side
    314.64x = 135,056.09
  5. Step 5: Solve for x
    x = 135,056.09/314.64
  6. Step 6: Final answer
    x = 429.24

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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.