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Finding the Fourth Proportional to 318.93, 475.65 and 313.17

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Solution

The fourth proportional to 318.93, 475.65 and 313.17 is: 467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.93 : 475.65 = 313.17 : x
  2. Step 2: Convert to fraction form
    318.93/475.65 = 313.17/x
  3. Step 3: Cross multiply
    318.93x = 475.65 × 313.17
  4. Step 4: Simplify right side
    318.93x = 148,959.31
  5. Step 5: Solve for x
    x = 148,959.31/318.93
  6. Step 6: Final answer
    x = 467.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.