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Finding the Fourth Proportional to 317.14, 472.90 and 304.72

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Solution

The fourth proportional to 317.14, 472.90 and 304.72 is: 454.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.14 : 472.90 = 304.72 : x
  2. Step 2: Convert to fraction form
    317.14/472.90 = 304.72/x
  3. Step 3: Cross multiply
    317.14x = 472.90 × 304.72
  4. Step 4: Simplify right side
    317.14x = 144,102.09
  5. Step 5: Solve for x
    x = 144,102.09/317.14
  6. Step 6: Final answer
    x = 454.38

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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.