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Finding the Fourth Proportional to 289.32, 430.92 and 286.13

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Solution

The fourth proportional to 289.32, 430.92 and 286.13 is: 426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.32 : 430.92 = 286.13 : x
  2. Step 2: Convert to fraction form
    289.32/430.92 = 286.13/x
  3. Step 3: Cross multiply
    289.32x = 430.92 × 286.13
  4. Step 4: Simplify right side
    289.32x = 123,300.22
  5. Step 5: Solve for x
    x = 123,300.22/289.32
  6. Step 6: Final answer
    x = 426.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.