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Finding the Fourth Proportional to 316.02, 434.35 and 278.96

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Solution

The fourth proportional to 316.02, 434.35 and 278.96 is: 383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.02 : 434.35 = 278.96 : x
  2. Step 2: Convert to fraction form
    316.02/434.35 = 278.96/x
  3. Step 3: Cross multiply
    316.02x = 434.35 × 278.96
  4. Step 4: Simplify right side
    316.02x = 121,163.41
  5. Step 5: Solve for x
    x = 121,163.41/316.02
  6. Step 6: Final answer
    x = 383.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.