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Finding the Fourth Proportional to 317.64, 473.47 and 303.80

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Solution

The fourth proportional to 317.64, 473.47 and 303.80 is: 452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.64 : 473.47 = 303.80 : x
  2. Step 2: Convert to fraction form
    317.64/473.47 = 303.80/x
  3. Step 3: Cross multiply
    317.64x = 473.47 × 303.80
  4. Step 4: Simplify right side
    317.64x = 143,840.61
  5. Step 5: Solve for x
    x = 143,840.61/317.64
  6. Step 6: Final answer
    x = 452.84

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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.