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Finding the Fourth Proportional to 317.88, 473.58 and 299.25

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Solution

The fourth proportional to 317.88, 473.58 and 299.25 is: 445.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.88 : 473.58 = 299.25 : x
  2. Step 2: Convert to fraction form
    317.88/473.58 = 299.25/x
  3. Step 3: Cross multiply
    317.88x = 473.58 × 299.25
  4. Step 4: Simplify right side
    317.88x = 141,718.82
  5. Step 5: Solve for x
    x = 141,718.82/317.88
  6. Step 6: Final answer
    x = 445.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.