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Finding the Fourth Proportional to 317.36, 476.09 and 98.00

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Solution

The fourth proportional to 317.36, 476.09 and 98.00 is: 147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.36 : 476.09 = 98.00 : x
  2. Step 2: Convert to fraction form
    317.36/476.09 = 98.00/x
  3. Step 3: Cross multiply
    317.36x = 476.09 × 98.00
  4. Step 4: Simplify right side
    317.36x = 46,658.60
  5. Step 5: Solve for x
    x = 46,658.60/317.36
  6. Step 6: Final answer
    x = 147.02

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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.