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Finding the Fourth Proportional to 316.04, 435.84 and 279.08

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Solution

The fourth proportional to 316.04, 435.84 and 279.08 is: 384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.04 : 435.84 = 279.08 : x
  2. Step 2: Convert to fraction form
    316.04/435.84 = 279.08/x
  3. Step 3: Cross multiply
    316.04x = 435.84 × 279.08
  4. Step 4: Simplify right side
    316.04x = 121,634.23
  5. Step 5: Solve for x
    x = 121,634.23/316.04
  6. Step 6: Final answer
    x = 384.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.