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Finding the Fourth Proportional to 317.58, 440.16 and 312.90

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Solution

The fourth proportional to 317.58, 440.16 and 312.90 is: 433.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.58 : 440.16 = 312.90 : x
  2. Step 2: Convert to fraction form
    317.58/440.16 = 312.90/x
  3. Step 3: Cross multiply
    317.58x = 440.16 × 312.90
  4. Step 4: Simplify right side
    317.58x = 137,726.06
  5. Step 5: Solve for x
    x = 137,726.06/317.58
  6. Step 6: Final answer
    x = 433.67

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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.