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Finding the Fourth Proportional to 312.55, 430.20 and 270.93

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Solution

The fourth proportional to 312.55, 430.20 and 270.93 is: 372.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.55 : 430.20 = 270.93 : x
  2. Step 2: Convert to fraction form
    312.55/430.20 = 270.93/x
  3. Step 3: Cross multiply
    312.55x = 430.20 × 270.93
  4. Step 4: Simplify right side
    312.55x = 116,554.09
  5. Step 5: Solve for x
    x = 116,554.09/312.55
  6. Step 6: Final answer
    x = 372.91

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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.