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Finding the Fourth Proportional to 282.80, 390.23 and 158.45

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Solution

The fourth proportional to 282.80, 390.23 and 158.45 is: 218.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.80 : 390.23 = 158.45 : x
  2. Step 2: Convert to fraction form
    282.80/390.23 = 158.45/x
  3. Step 3: Cross multiply
    282.80x = 390.23 × 158.45
  4. Step 4: Simplify right side
    282.80x = 61,831.94
  5. Step 5: Solve for x
    x = 61,831.94/282.80
  6. Step 6: Final answer
    x = 218.64

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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.