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Finding the Fourth Proportional to 286.74, 430.24 and 214.74

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Solution

The fourth proportional to 286.74, 430.24 and 214.74 is: 322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.74 : 430.24 = 214.74 : x
  2. Step 2: Convert to fraction form
    286.74/430.24 = 214.74/x
  3. Step 3: Cross multiply
    286.74x = 430.24 × 214.74
  4. Step 4: Simplify right side
    286.74x = 92,389.74
  5. Step 5: Solve for x
    x = 92,389.74/286.74
  6. Step 6: Final answer
    x = 322.21

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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.