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Finding the Fourth Proportional to 286.96, 430.30 and 148.18

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Solution

The fourth proportional to 286.96, 430.30 and 148.18 is: 222.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.96 : 430.30 = 148.18 : x
  2. Step 2: Convert to fraction form
    286.96/430.30 = 148.18/x
  3. Step 3: Cross multiply
    286.96x = 430.30 × 148.18
  4. Step 4: Simplify right side
    286.96x = 63,761.85
  5. Step 5: Solve for x
    x = 63,761.85/286.96
  6. Step 6: Final answer
    x = 222.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.