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Finding the Fourth Proportional to 317.80, 476.98 and 155.60

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Solution

The fourth proportional to 317.80, 476.98 and 155.60 is: 233.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.80 : 476.98 = 155.60 : x
  2. Step 2: Convert to fraction form
    317.80/476.98 = 155.60/x
  3. Step 3: Cross multiply
    317.80x = 476.98 × 155.60
  4. Step 4: Simplify right side
    317.80x = 74,218.09
  5. Step 5: Solve for x
    x = 74,218.09/317.80
  6. Step 6: Final answer
    x = 233.54

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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.