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Finding the Fourth Proportional to 282.93, 390.50 and 170.99

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Solution

The fourth proportional to 282.93, 390.50 and 170.99 is: 236.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.93 : 390.50 = 170.99 : x
  2. Step 2: Convert to fraction form
    282.93/390.50 = 170.99/x
  3. Step 3: Cross multiply
    282.93x = 390.50 × 170.99
  4. Step 4: Simplify right side
    282.93x = 66,772.61
  5. Step 5: Solve for x
    x = 66,772.61/282.93
  6. Step 6: Final answer
    x = 236.00

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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.