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Finding the Fourth Proportional to 285.85, 430.33 and 195.12

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Solution

The fourth proportional to 285.85, 430.33 and 195.12 is: 293.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.85 : 430.33 = 195.12 : x
  2. Step 2: Convert to fraction form
    285.85/430.33 = 195.12/x
  3. Step 3: Cross multiply
    285.85x = 430.33 × 195.12
  4. Step 4: Simplify right side
    285.85x = 83,962.86
  5. Step 5: Solve for x
    x = 83,962.86/285.85
  6. Step 6: Final answer
    x = 293.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.