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Finding the Fourth Proportional to 319.35, 476.82 and 282

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Solution

The fourth proportional to 319.35, 476.82 and 282 is: 421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.35 : 476.82 = 282 : x
  2. Step 2: Convert to fraction form
    319.35/476.82 = 282/x
  3. Step 3: Cross multiply
    319.35x = 476.82 × 282
  4. Step 4: Simplify right side
    319.35x = 134,463.24
  5. Step 5: Solve for x
    x = 134,463.24/319.35
  6. Step 6: Final answer
    x = 421.05

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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.