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Finding the Fourth Proportional to 312.40, 430.77 and 214.21

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Solution

The fourth proportional to 312.40, 430.77 and 214.21 is: 295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.40 : 430.77 = 214.21 : x
  2. Step 2: Convert to fraction form
    312.40/430.77 = 214.21/x
  3. Step 3: Cross multiply
    312.40x = 430.77 × 214.21
  4. Step 4: Simplify right side
    312.40x = 92,275.24
  5. Step 5: Solve for x
    x = 92,275.24/312.40
  6. Step 6: Final answer
    x = 295.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.