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Finding the Fourth Proportional to 317.78, 474.75 and 315.98

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Solution

The fourth proportional to 317.78, 474.75 and 315.98 is: 472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.78 : 474.75 = 315.98 : x
  2. Step 2: Convert to fraction form
    317.78/474.75 = 315.98/x
  3. Step 3: Cross multiply
    317.78x = 474.75 × 315.98
  4. Step 4: Simplify right side
    317.78x = 150,009.93
  5. Step 5: Solve for x
    x = 150,009.93/317.78
  6. Step 6: Final answer
    x = 472.06

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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.