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Finding the Fourth Proportional to 447.15, 616.50 and 289.51

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Solution

The fourth proportional to 447.15, 616.50 and 289.51 is: 399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.15 : 616.50 = 289.51 : x
  2. Step 2: Convert to fraction form
    447.15/616.50 = 289.51/x
  3. Step 3: Cross multiply
    447.15x = 616.50 × 289.51
  4. Step 4: Simplify right side
    447.15x = 178,482.92
  5. Step 5: Solve for x
    x = 178,482.92/447.15
  6. Step 6: Final answer
    x = 399.16

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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.