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Finding the Fourth Proportional to 317.63, 472.64 and 316.55

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Solution

The fourth proportional to 317.63, 472.64 and 316.55 is: 471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.63 : 472.64 = 316.55 : x
  2. Step 2: Convert to fraction form
    317.63/472.64 = 316.55/x
  3. Step 3: Cross multiply
    317.63x = 472.64 × 316.55
  4. Step 4: Simplify right side
    317.63x = 149,614.19
  5. Step 5: Solve for x
    x = 149,614.19/317.63
  6. Step 6: Final answer
    x = 471.03

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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.