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Finding the Fourth Proportional to 286.99, 430.43 and 148.23

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Solution

The fourth proportional to 286.99, 430.43 and 148.23 is: 222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.99 : 430.43 = 148.23 : x
  2. Step 2: Convert to fraction form
    286.99/430.43 = 148.23/x
  3. Step 3: Cross multiply
    286.99x = 430.43 × 148.23
  4. Step 4: Simplify right side
    286.99x = 63,801.90
  5. Step 5: Solve for x
    x = 63,801.90/286.99
  6. Step 6: Final answer
    x = 222.32

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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.