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Finding the Fourth Proportional to 282.99, 390.15 and 184.71

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Solution

The fourth proportional to 282.99, 390.15 and 184.71 is: 254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.99 : 390.15 = 184.71 : x
  2. Step 2: Convert to fraction form
    282.99/390.15 = 184.71/x
  3. Step 3: Cross multiply
    282.99x = 390.15 × 184.71
  4. Step 4: Simplify right side
    282.99x = 72,064.61
  5. Step 5: Solve for x
    x = 72,064.61/282.99
  6. Step 6: Final answer
    x = 254.65

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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.