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Finding the Fourth Proportional to 319.64, 477.30 and 316.24

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Solution

The fourth proportional to 319.64, 477.30 and 316.24 is: 472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.64 : 477.30 = 316.24 : x
  2. Step 2: Convert to fraction form
    319.64/477.30 = 316.24/x
  3. Step 3: Cross multiply
    319.64x = 477.30 × 316.24
  4. Step 4: Simplify right side
    319.64x = 150,941.35
  5. Step 5: Solve for x
    x = 150,941.35/319.64
  6. Step 6: Final answer
    x = 472.22

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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.