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Finding the Fourth Proportional to 283.18, 390.75 and 158.81

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Solution

The fourth proportional to 283.18, 390.75 and 158.81 is: 219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.18 : 390.75 = 158.81 : x
  2. Step 2: Convert to fraction form
    283.18/390.75 = 158.81/x
  3. Step 3: Cross multiply
    283.18x = 390.75 × 158.81
  4. Step 4: Simplify right side
    283.18x = 62,055.01
  5. Step 5: Solve for x
    x = 62,055.01/283.18
  6. Step 6: Final answer
    x = 219.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.