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Finding the Fourth Proportional to 433.95, 599.14 and 316.14

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Solution

The fourth proportional to 433.95, 599.14 and 316.14 is: 436.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.95 : 599.14 = 316.14 : x
  2. Step 2: Convert to fraction form
    433.95/599.14 = 316.14/x
  3. Step 3: Cross multiply
    433.95x = 599.14 × 316.14
  4. Step 4: Simplify right side
    433.95x = 189,412.12
  5. Step 5: Solve for x
    x = 189,412.12/433.95
  6. Step 6: Final answer
    x = 436.48

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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.