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Finding the Fourth Proportional to 282.98, 390.47 and 158.64

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Solution

The fourth proportional to 282.98, 390.47 and 158.64 is: 218.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.98 : 390.47 = 158.64 : x
  2. Step 2: Convert to fraction form
    282.98/390.47 = 158.64/x
  3. Step 3: Cross multiply
    282.98x = 390.47 × 158.64
  4. Step 4: Simplify right side
    282.98x = 61,943.37
  5. Step 5: Solve for x
    x = 61,943.37/282.98
  6. Step 6: Final answer
    x = 218.90

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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.