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Finding the Fourth Proportional to 312.01, 430.05 and 285.86

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Solution

The fourth proportional to 312.01, 430.05 and 285.86 is: 394.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.01 : 430.05 = 285.86 : x
  2. Step 2: Convert to fraction form
    312.01/430.05 = 285.86/x
  3. Step 3: Cross multiply
    312.01x = 430.05 × 285.86
  4. Step 4: Simplify right side
    312.01x = 122,934.09
  5. Step 5: Solve for x
    x = 122,934.09/312.01
  6. Step 6: Final answer
    x = 394.01

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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.