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Finding the Fourth Proportional to 316.17, 433.53 and 284.96

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Solution

The fourth proportional to 316.17, 433.53 and 284.96 is: 390.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.17 : 433.53 = 284.96 : x
  2. Step 2: Convert to fraction form
    316.17/433.53 = 284.96/x
  3. Step 3: Cross multiply
    316.17x = 433.53 × 284.96
  4. Step 4: Simplify right side
    316.17x = 123,538.71
  5. Step 5: Solve for x
    x = 123,538.71/316.17
  6. Step 6: Final answer
    x = 390.74

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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.