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Finding the Fourth Proportional to 287.30, 430.82 and 133.19

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Solution

The fourth proportional to 287.30, 430.82 and 133.19 is: 199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.30 : 430.82 = 133.19 : x
  2. Step 2: Convert to fraction form
    287.30/430.82 = 133.19/x
  3. Step 3: Cross multiply
    287.30x = 430.82 × 133.19
  4. Step 4: Simplify right side
    287.30x = 57,378.10
  5. Step 5: Solve for x
    x = 57,378.10/287.30
  6. Step 6: Final answer
    x = 199.72

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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.