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Finding the Fourth Proportional to 317.80, 476.80 and 155.50

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Solution

The fourth proportional to 317.80, 476.80 and 155.50 is: 233.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.80 : 476.80 = 155.50 : x
  2. Step 2: Convert to fraction form
    317.80/476.80 = 155.50/x
  3. Step 3: Cross multiply
    317.80x = 476.80 × 155.50
  4. Step 4: Simplify right side
    317.80x = 74,142.40
  5. Step 5: Solve for x
    x = 74,142.40/317.80
  6. Step 6: Final answer
    x = 233.30

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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.