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Finding the Fourth Proportional to 317.71, 440.14 and 310.15

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Solution

The fourth proportional to 317.71, 440.14 and 310.15 is: 429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.71 : 440.14 = 310.15 : x
  2. Step 2: Convert to fraction form
    317.71/440.14 = 310.15/x
  3. Step 3: Cross multiply
    317.71x = 440.14 × 310.15
  4. Step 4: Simplify right side
    317.71x = 136,509.42
  5. Step 5: Solve for x
    x = 136,509.42/317.71
  6. Step 6: Final answer
    x = 429.67

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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.