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Finding the Fourth Proportional to 317.89, 476.71 and 98.45

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Solution

The fourth proportional to 317.89, 476.71 and 98.45 is: 147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.89 : 476.71 = 98.45 : x
  2. Step 2: Convert to fraction form
    317.89/476.71 = 98.45/x
  3. Step 3: Cross multiply
    317.89x = 476.71 × 98.45
  4. Step 4: Simplify right side
    317.89x = 46,932.10
  5. Step 5: Solve for x
    x = 46,932.10/317.89
  6. Step 6: Final answer
    x = 147.64

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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.