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Finding the Fourth Proportional to 319.17, 476.60 and 279.84

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Solution

The fourth proportional to 319.17, 476.60 and 279.84 is: 417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.17 : 476.60 = 279.84 : x
  2. Step 2: Convert to fraction form
    319.17/476.60 = 279.84/x
  3. Step 3: Cross multiply
    319.17x = 476.60 × 279.84
  4. Step 4: Simplify right side
    319.17x = 133,368.66
  5. Step 5: Solve for x
    x = 133,368.66/319.17
  6. Step 6: Final answer
    x = 417.86

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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.