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Finding the Fourth Proportional to 312.17, 430.70 and 212.58

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Solution

The fourth proportional to 312.17, 430.70 and 212.58 is: 293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.17 : 430.70 = 212.58 : x
  2. Step 2: Convert to fraction form
    312.17/430.70 = 212.58/x
  3. Step 3: Cross multiply
    312.17x = 430.70 × 212.58
  4. Step 4: Simplify right side
    312.17x = 91,557.14
  5. Step 5: Solve for x
    x = 91,557.14/312.17
  6. Step 6: Final answer
    x = 293.30

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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.