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Finding the Fourth Proportional to 592.15, 817.15 and 330.16

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Solution

The fourth proportional to 592.15, 817.15 and 330.16 is: 455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.15 : 817.15 = 330.16 : x
  2. Step 2: Convert to fraction form
    592.15/817.15 = 330.16/x
  3. Step 3: Cross multiply
    592.15x = 817.15 × 330.16
  4. Step 4: Simplify right side
    592.15x = 269,790.24
  5. Step 5: Solve for x
    x = 269,790.24/592.15
  6. Step 6: Final answer
    x = 455.61

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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.