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Finding the Fourth Proportional to 317.98, 477.14 and 155.67

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Solution

The fourth proportional to 317.98, 477.14 and 155.67 is: 233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.98 : 477.14 = 155.67 : x
  2. Step 2: Convert to fraction form
    317.98/477.14 = 155.67/x
  3. Step 3: Cross multiply
    317.98x = 477.14 × 155.67
  4. Step 4: Simplify right side
    317.98x = 74,277.38
  5. Step 5: Solve for x
    x = 74,277.38/317.98
  6. Step 6: Final answer
    x = 233.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.