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Finding the Fourth Proportional to 317.50, 476.31 and 146.50

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Solution

The fourth proportional to 317.50, 476.31 and 146.50 is: 219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.50 : 476.31 = 146.50 : x
  2. Step 2: Convert to fraction form
    317.50/476.31 = 146.50/x
  3. Step 3: Cross multiply
    317.50x = 476.31 × 146.50
  4. Step 4: Simplify right side
    317.50x = 69,779.42
  5. Step 5: Solve for x
    x = 69,779.42/317.50
  6. Step 6: Final answer
    x = 219.78

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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.