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Finding the Fourth Proportional to 312.34, 430.45 and 207.24

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Solution

The fourth proportional to 312.34, 430.45 and 207.24 is: 285.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.34 : 430.45 = 207.24 : x
  2. Step 2: Convert to fraction form
    312.34/430.45 = 207.24/x
  3. Step 3: Cross multiply
    312.34x = 430.45 × 207.24
  4. Step 4: Simplify right side
    312.34x = 89,205.64
  5. Step 5: Solve for x
    x = 89,205.64/312.34
  6. Step 6: Final answer
    x = 285.61

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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.