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Finding the Fourth Proportional to 285.15, 425.74 and 233.66

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Solution

The fourth proportional to 285.15, 425.74 and 233.66 is: 348.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.15 : 425.74 = 233.66 : x
  2. Step 2: Convert to fraction form
    285.15/425.74 = 233.66/x
  3. Step 3: Cross multiply
    285.15x = 425.74 × 233.66
  4. Step 4: Simplify right side
    285.15x = 99,479.12
  5. Step 5: Solve for x
    x = 99,479.12/285.15
  6. Step 6: Final answer
    x = 348.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.